Algebra - Introduction and Notation
Question 1
What is the missing number in the boxes?
a) $\square+1=2$
a
$1$
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b) $\square+5=7$
a
$2$
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c) $\square-3=5$
a
$8$
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d) $\square\times4=12$
a
$3$
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e) $\square\div2=7$
a
$14$
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f) $18+\square=50$
a
$32$
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g) $20-\square=9$
a
$11$
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h) $\square\times8=88$
a
$11$
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i) $5+8=\square$
a
$13$
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j) $20\times3=\square$
a
$60$
Question ID: 2001001010
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k) $18\div3=\square$
a
$6$
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l) $8-\square+4=9$
a
$3$
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m) $6+4=\square\times2$
a
$5$
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Question 2
What is the missing number in the boxes?
a) There are $\square$ days in a week
a
$7$
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b) Eighty divided by 4 is $\square$
a
$20$
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c) A pentagon has $\square$ sides
a
$5$
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d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.
a
$3$
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e) The freezing point of water is $\square^\circ$C.
a
$0$
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f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.
a
$15$
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g) There are $\square$ days in a week
a
no answer
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Question 3
Each letter represents a number. Find the value of the letter.
a) ${\bf r}+5=9$
a
${\bf r}=4$
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b) ${\bf a}+12=19$
a
${\bf a}=7$
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c) ${\bf h}\times8=72$
a
${\bf h}=9$
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d) ${\bf q}-17=25$
a
${\bf q}=42$
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e) ${\bf x}\div 18=2$
a
${\bf x}=36$
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f) $74+{\bf s}=100$
a
${\bf s}=26$
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g) $150-{\bf g}=50$
a
${\bf g}=100$
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h) $600\div{\bf y}=4$
a
${\bf y}=150$
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i) ${\bf b}+15-25=67$
a
${\bf b}=77$
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j) ${\bf m}+{\bf m}=66$
a
${\bf m}=33$
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k) ${\bf k}\times{\bf k}=100$
a
${\bf k}=10$
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l) $6\times{\bf z}+-16=20$
a
${\bf z}=6$
Question ID: 2001003012
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m) ${\bf w}\times7=24-{\bf w}$
a
${\bf w}=3$
Question ID: 2001003013
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Question 4
Write each expression without the mutliplication sign
a) $2\times{\bf x}$
a
$2{\bf x}$
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b) $5\times{\bf y}$
a
$5{\bf y}$
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c) ${\bf h}\times3$
a
$3{\bf h}$
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d) ${\bf w}\times18$
a
$18{\bf w}$
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e) $5\times{\bf t}+8$
a
$5{\bf t}+8$
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f) ${\bf u}\times6-3$
a
$6{\bf u}-3$
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g) $2\times3\times{\bf g}$
a
$6{\bf g}$
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h) $4\times{\bf k}\times5$
a
$20{\bf k}$
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i) ${\bf e}\times{\bf k}$
a
${\bf ek}$
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j) ${\bf d}\times{\bf c}\times{\bf a}$
a
${\bf acd}$
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k) $9\times{\bf w}\times{\bf z}$
a
$9{\bf wz}$
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l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$
a
$10{\bf fgh}$
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Question 5
Write each expression without the division sign
a) ${\bf e}\div3$
a
$\frac{\bf e}{3}$
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b) ${\bf x}\div4$
a
$\frac{\bf x}{4}$
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c) ${\bf c}\div20$
a
$\frac{\bf c}{20}$
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d) $t\div{\bf b}$
a
$\frac{2}{\bf b}$
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e) $2\div{\bf b}$
a
$\frac{2}{\bf b}$
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f) $16\div{\bf n}$
a
$\frac{16}{\bf n}$
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g) ${\bf x}\div{\bf y}$
a
$\frac{\bf x}{\bf y}$
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h) ${\bf st}\div{\bf r}$
a
$\frac{\bf st}{r}$
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i) ${\bf 6}\div{\bf x}+5$
a
$\frac{6}{\bf x}+5$
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j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$
a
$\frac{\bf t}{\bf e}+\frac{19}{\bf h}$
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Question 6
Write each expression without the multiplication signs
a) ${\bf x}\times{\bf x}$
a
${\bf x}^2$
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b) ${\bf g}\times{\bf g}\times{\bf g}$
a
${\bf g}^3$
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c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$
a
${\bf w}^5$
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d) $9\times{\bf d}\times{\bf d}$
a
$9{\bf d}^2$
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e) $20{\bf y}\times{\bf y}\times{\bf y}$
a
$20{\bf y}^3$
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f) $5\times{\bf a}\times2\times{\bf a}$
a
$10{\bf a}^2$
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g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$
a
$27{\bf h}^4$
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Question 1
What is the missing number in the boxes?
a) $\square+1=2$
b) $\square+5=7$
c) $\square-3=5$
d) $\square\times4=12$
e) $\square\div2=7$
f) $18+\square=50$
g) $20-\square=9$
h) $\square\times8=88$
i) $5+8=\square$
j) $20\times3=\square$
k) $18\div3=\square$
l) $8-\square+4=9$
m) $6+4=\square\times2$
Question 2
What is the missing number in the boxes?
a) There are $\square$ days in a week
b) Eighty divided by 4 is $\square$
c) A pentagon has $\square$ sides
d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.
e) The freezing point of water is $\square^\circ$C.
f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.
g) There are $\square$ days in a week
Question 3
Each letter represents a number. Find the value of the letter.
a) ${\bf r}+5=9$
b) ${\bf a}+12=19$
c) ${\bf h}\times8=72$
d) ${\bf q}-17=25$
e) ${\bf x}\div 18=2$
f) $74+{\bf s}=100$
g) $150-{\bf g}=50$
h) $600\div{\bf y}=4$
i) ${\bf b}+15-25=67$
j) ${\bf m}+{\bf m}=66$
k) ${\bf k}\times{\bf k}=100$
l) $6\times{\bf z}+-16=20$
m) ${\bf w}\times7=24-{\bf w}$
Question 4
Write each expression without the mutliplication sign
a) $2\times{\bf x}$
b) $5\times{\bf y}$
c) ${\bf h}\times3$
d) ${\bf w}\times18$
e) $5\times{\bf t}+8$
f) ${\bf u}\times6-3$
g) $2\times3\times{\bf g}$
h) $4\times{\bf k}\times5$
i) ${\bf e}\times{\bf k}$
j) ${\bf d}\times{\bf c}\times{\bf a}$
k) $9\times{\bf w}\times{\bf z}$
l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$
Question 5
Write each expression without the division sign
a) ${\bf e}\div3$
b) ${\bf x}\div4$
c) ${\bf c}\div20$
d) $t\div{\bf b}$
e) $2\div{\bf b}$
f) $16\div{\bf n}$
g) ${\bf x}\div{\bf y}$
h) ${\bf st}\div{\bf r}$
i) ${\bf 6}\div{\bf x}+5$
j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$
Question 6
Write each expression without the multiplication signs
a) ${\bf x}\times{\bf x}$
b) ${\bf g}\times{\bf g}\times{\bf g}$
c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$
d) $9\times{\bf d}\times{\bf d}$
e) $20{\bf y}\times{\bf y}\times{\bf y}$
f) $5\times{\bf a}\times2\times{\bf a}$
g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$
Answers
Question 1
a) $1$
b) $2$
c) $8$
d) $3$
e) $14$
f) $32$
g) $11$
h) $11$
i) $13$
j) $60$
k) $6$
l) $3$
m) $5$
Question 2
a) $7$
b) $20$
c) $5$
d) $3$
e) $0$
f) $15$
g)
Question 3
a) ${\bf r}=4$
b) ${\bf a}=7$
c) ${\bf h}=9$
d) ${\bf q}=42$
e) ${\bf x}=36$
f) ${\bf s}=26$
g) ${\bf g}=100$
h) ${\bf y}=150$
i) ${\bf b}=77$
j) ${\bf m}=33$
k) ${\bf k}=10$
l) ${\bf z}=6$
m) ${\bf w}=3$
Question 4
a) $2{\bf x}$
b) $5{\bf y}$
c) $3{\bf h}$
d) $18{\bf w}$
e) $5{\bf t}+8$
f) $6{\bf u}-3$
g) $6{\bf g}$
h) $20{\bf k}$
i) ${\bf ek}$
j) ${\bf acd}$
k) $9{\bf wz}$
l) $10{\bf fgh}$
Question 5
a) $\frac{\bf e}{3}$
b) $\frac{\bf x}{4}$
c) $\frac{\bf c}{20}$
d) $\frac{2}{\bf b}$
e) $\frac{2}{\bf b}$
f) $\frac{16}{\bf n}$
g) $\frac{\bf x}{\bf y}$
h) $\frac{\bf st}{r}$
i) $\frac{6}{\bf x}+5$
j) $\frac{\bf t}{\bf e}+\frac{19}{\bf h}$
Question 6
a) ${\bf x}^2$
b) ${\bf g}^3$
c) ${\bf w}^5$
d) $9{\bf d}^2$
e) $20{\bf y}^3$
f) $10{\bf a}^2$
g) $27{\bf h}^4$
Question 1
What is the missing number in the boxes?
a) $\square+1=2$
b) $\square+5=7$
c) $\square-3=5$
d) $\square\times4=12$
e) $\square\div2=7$
f) $18+\square=50$
g) $20-\square=9$
h) $\square\times8=88$
i) $5+8=\square$
j) $20\times3=\square$
k) $18\div3=\square$
l) $8-\square+4=9$
m) $6+4=\square\times2$
Question 2
What is the missing number in the boxes?
a) There are $\square$ days in a week
b) Eighty divided by 4 is $\square$
c) A pentagon has $\square$ sides
d) This week I ate an apple on Monday, Wednesday and Saturday. I ate $\square$ apples this week.
e) The freezing point of water is $\square^\circ$C.
f) I muliply 5 by 8, add 20 and then divide this by 4. The answer is $\square$.
g) There are $\square$ days in a week
Question 3
Each letter represents a number. Find the value of the letter.
a) ${\bf r}+5=9$
b) ${\bf a}+12=19$
c) ${\bf h}\times8=72$
d) ${\bf q}-17=25$
e) ${\bf x}\div 18=2$
f) $74+{\bf s}=100$
g) $150-{\bf g}=50$
h) $600\div{\bf y}=4$
i) ${\bf b}+15-25=67$
j) ${\bf m}+{\bf m}=66$
k) ${\bf k}\times{\bf k}=100$
l) $6\times{\bf z}+-16=20$
m) ${\bf w}\times7=24-{\bf w}$
Question 4
Write each expression without the mutliplication sign
a) $2\times{\bf x}$
b) $5\times{\bf y}$
c) ${\bf h}\times3$
d) ${\bf w}\times18$
e) $5\times{\bf t}+8$
f) ${\bf u}\times6-3$
g) $2\times3\times{\bf g}$
h) $4\times{\bf k}\times5$
i) ${\bf e}\times{\bf k}$
j) ${\bf d}\times{\bf c}\times{\bf a}$
k) $9\times{\bf w}\times{\bf z}$
l) $2\times{\bf f}\times{\bf h}\times5\times{\bf g}$
Question 5
Write each expression without the division sign
a) ${\bf e}\div3$
b) ${\bf x}\div4$
c) ${\bf c}\div20$
d) $t\div{\bf b}$
e) $2\div{\bf b}$
f) $16\div{\bf n}$
g) ${\bf x}\div{\bf y}$
h) ${\bf st}\div{\bf r}$
i) ${\bf 6}\div{\bf x}+5$
j) ${\bf t}\div{\bf e}+{\bf 19}\div{\bf h}$
Question 6
Write each expression without the multiplication signs
a) ${\bf x}\times{\bf x}$
b) ${\bf g}\times{\bf g}\times{\bf g}$
c) ${\bf w}\times{\bf w}\times{\bf w}\times{\bf w}\times{\bf w}$
d) $9\times{\bf d}\times{\bf d}$
e) $20{\bf y}\times{\bf y}\times{\bf y}$
f) $5\times{\bf a}\times2\times{\bf a}$
g) $9\times{\bf h}\times{\bf h}\times{\bf h}\times3\times{\bf h}$
Answers
Question 1
a) $1$
b) $2$
c) $8$
d) $3$
e) $14$
f) $32$
g) $11$
h) $11$
i) $13$
j) $60$
k) $6$
l) $3$
m) $5$
Question 2
a) $7$
b) $20$
c) $5$
d) $3$
e) $0$
f) $15$
g)
Question 3
a) ${\bf r}=4$
b) ${\bf a}=7$
c) ${\bf h}=9$
d) ${\bf q}=42$
e) ${\bf x}=36$
f) ${\bf s}=26$
g) ${\bf g}=100$
h) ${\bf y}=150$
i) ${\bf b}=77$
j) ${\bf m}=33$
k) ${\bf k}=10$
l) ${\bf z}=6$
m) ${\bf w}=3$
Question 4
a) $2{\bf x}$
b) $5{\bf y}$
c) $3{\bf h}$
d) $18{\bf w}$
e) $5{\bf t}+8$
f) $6{\bf u}-3$
g) $6{\bf g}$
h) $20{\bf k}$
i) ${\bf ek}$
j) ${\bf acd}$
k) $9{\bf wz}$
l) $10{\bf fgh}$
Question 5
a) $\frac{\bf e}{3}$
b) $\frac{\bf x}{4}$
c) $\frac{\bf c}{20}$
d) $\frac{2}{\bf b}$
e) $\frac{2}{\bf b}$
f) $\frac{16}{\bf n}$
g) $\frac{\bf x}{\bf y}$
h) $\frac{\bf st}{r}$
i) $\frac{6}{\bf x}+5$
j) $\frac{\bf t}{\bf e}+\frac{19}{\bf h}$
Question 6
a) ${\bf x}^2$
b) ${\bf g}^3$
c) ${\bf w}^5$
d) $9{\bf d}^2$
e) $20{\bf y}^3$
f) $10{\bf a}^2$
g) $27{\bf h}^4$
Solutions
Question 1
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Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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