Deck 4: Basic Algebra: Solving Simple Equations

Question 1

Translate the expression into a word phrase

- $x+1$

A) One more than $x$
B) $x$ divided by one
C) One less than $x$
D) The product of $x$ and one

Answer 1

One more than $x$

Question 2

Translate the expression into a word phrase

- $7+x$

A) Seven increased by $x$
B) Seven times $x$
C) Seven decreased by $x$
D) $x$ divided by seven

Answer 2

Seven increased by $x$

Question 3

Translate the expression into a word phrase

- $9-n$

A) $n$ minus nine
B) Nine minus $n$
C) Nine plus $n$
D) $n$ plus nine

Answer 3

Nine minus $n$

Question 4

Translate the expression into a word phrase

- $q-2$

A) q increased by two
B) Two less than $q$
C) q less than two
D) Two divided by $q$

Question 5

Translate the expression into a word phrase

- $2 \div \mathrm{r}$

A) Two divided by $r$
B) $r$ divided by two
C) Two plus $r$
D) Two minus $r$

Question 6

Translate the expression into a word phrase

- $\frac{7}{n}$

A) $n$ divided by seven
B) Seven divided by $n$
C) Seven times $n$
D) Seven decreased by $n$

Question 7

Translate the expression into a word phrase

- $\frac{x}{4.6}$

A) $x$ decreased by 4.6
B) The quotient of 4.6 and $x$
C) The quotient of $x$ and 4.6
D) $x$ times 4.6

Question 8

Translate the expression into a word phrase

- $6 \mathrm{t}$

A) Six increased by $t$
B) Six times $t$
C) The quotient of six and $t$
D) Six next to $t$

Question 9

Translate the expression into a word phrase

- $\frac{7}{9} \mathrm{k}$

A) $\frac{7}{9}$ increased by k
B) The product of $\frac{7}{9}$ and $\mathrm{k}$
C) k more than $\frac{7}{9}$
D) The quotient of $\frac{7}{9}$ and $\mathrm{k}$

Question 10

Translate the expression into a word phrase

- $8.1 \mathrm{z}$

A) 8.1 divided by $z$
B) 8.1 increased by $z$
C) 8.1 multiplied by $z$
D) $\mathrm{z}$ more than 8.1

Question 11

Translate the word phrase into an algebraic expression.

-The sum of 61 and $x$

A) $61-x$
B) 61
C) $61 x$
D) $61+x$

Question 12

Translate the word phrase into an algebraic expression.

-His salary $x$ increased by $\$ 250$

A) 250
B) $x+250$
C) $250 x$
D) $x-250$

Question 13

Translate the word phrase into an algebraic expression.

-9 hours past time $x$

A) $9 x$
B) $9+x$
C) $9-x$
D) 9

Question 14

Translate the word phrase into an algebraic expression.

- $\$ 147$ less the cost $x$

A) 147
B) $147 x$
C) $x+147$
D) $147-x$

Question 15

Translate the word phrase into an algebraic expression.

-The difference between $x$ and 4.6

A) $x+4.6$
B) 4.6
C) $x-4.6$
D) $4.6 x$

Question 16

Translate the word phrase into an algebraic expression.

-6 times a number $x$

A) $6+x$
B) $\frac{6}{x}$
C) $6-x$
D) $6 x$

Question 17

Translate the word phrase into an algebraic expression.

-The product of 2 and $x$

A) $\frac{2}{x}$
B) $2-x$
C) $2+x$
D) $2 x$

Question 18

Translate the word phrase into an algebraic expression.

-The quotient of 2 and $x$

A) $\frac{2}{x}$
B) $2 x$
C) $2-x$
D) $2+x$

Question 19

Translate the word phrase into an algebraic expression.

- $3 x$ divided by $k$

A) $\frac{3 x}{k}$
B) $\frac{3}{\mathrm{kx}}$
C) $\frac{x}{3 k}$
D) $\frac{3+x}{k}$

Question 20

Translate the word phrase into an algebraic expression.

-4 more than $3 x$

A) $4 x+3$
B) $3 x+4$
C) $3(4+x)$
D) $7 x$

Question 21

Evaluate the expression.

- $11+x$ , if $x=3.7$

A) 14.7
B) 7.3
C) $\frac{11}{3.7}$
D) 40.7

Question 22

Evaluate the expression.

- $\mathrm{n}+\frac{3}{8}$ , if $\mathrm{n}=\frac{3}{8}$

A) 6
B) $\frac{3}{8}$
C) $\frac{3}{4}$
D) $\frac{1}{4}$

Question 23

Evaluate the expression.

- $11-\mathrm{m}$ , if $\mathrm{m}=9.7$

A) $\frac{11}{9.7}$
B) 20.7
C) -1.3
D) 1.3

Question 24

Evaluate the expression.

- $r-\frac{5}{4}$ , if $r=\frac{3}{2}$

A) $-\frac{1}{4}$
B) $\frac{3}{2}$
C) $\frac{1}{4}$
D) 1

Question 25

Evaluate the expression.

- $2 y$ , if $y=\frac{1}{2}$

A) 4
B) $\frac{7}{5}$
C) 1
D) 2

Question 26

Evaluate the expression.

- $9 x$ , if $x=7.7$

A) 16.7
B) $\frac{90}{77}$
C) 1.3
D) 69.3

Question 27

Evaluate the expression.

- $x \div 2$ , if $x=\frac{3}{2}$

A) $\frac{3}{4}$
B) $\frac{1}{12}$
C) $\frac{4}{3}$
D) 3

Question 28

Evaluate the expression.

- $2 \div \mathrm{t}$ , if $\mathrm{t}=\frac{5}{4}$

A) $\frac{5}{8}$
B) $\frac{8}{5}$
C) $\frac{5}{2}$
D) 2

Question 29

Evaluate the expression.

- $\frac{x}{7}$ , if $x=28$

A) $\frac{1}{4}$
B) 28
C) 4
D) 21

Question 30

Evaluate the expression.

- $2 x$ , if $x=6$

A) 7
B) 5
C) 6
D) 12

Question 31

Complete the table.

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A)
B)
C)
D)

Question 32

Complete the table.

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A)
B)
C)
D)

Question 33

Complete the table.

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A)

B)

C)

D)

Question 34

Complete the table.

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A)
B)
C)

D)

Question 35

Complete the table.

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A)

B)

C)

D)

Question 36

Complete the table.

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A)

B)

C)

D)

Question 37

Solve.

-Alan weighs 4 times as much as his son. Let $x$ represent Alan's weight. Write an expression for the weight of Alan's son.

A) $x-4$
B) $4 x$
C) $\frac{1}{4} x$
D) $\frac{4}{x}$

Question 38

Solve.

-Suppose that you have c credits. Your roommate has 8 less credits than you. How many credits does your roommate have?

A) $\mathrm{c}-8$
B) $\frac{8}{\mathrm{c}}$
C) $\mathrm{c} \div 8$
D) 8 - $\mathrm{c}$

Question 39

Solve.

-When you pay back your student loan, each monthly payment has two parts. One part goes toward the principle and the other goes toward interest. If the principle payment is $p$ , and the interest is $\$ 74.84$ , write an algebraic expression for the total payment.

A) $74.84 \mathrm{p}$ dollars
B) $p+74.84$ dollars
C) 74.84 - $p$ dollars
D) $p-74.84$ dollars

Question 40

Solve.

-Write an expression for the sum of the lengths of the sides of the triangles shown.

A) $3+7+x$ or $10+x$
B) $x+4$
C) $7+x$
D) 10

Question 41

Solve.

-If a rectangle has length 1 and width $w$ , then it has an area of l.w square units. Find the area of a 20 by 23 rectangle.

A) 23 square units
B) 460 square units
C) 20 square units
D) 86 square units

Question 42

Solve.

-If a volleyball player makes $A$ kills in $B$ attempts, her kill percentage is defined to be $\frac{A}{B}$ . Find the kill percentage of a player who made 4 kills in 16 attempts.

A) $\frac{1}{6}$
B) $\frac{1}{4}$
C) 4
D) $1 \frac{1}{4}$

Question 43

Solve.

-A fence was installed surrounding a plot of land which had the following angle measurements.

Write an expression, in simplified form, for the sum of the measures of the four angles.

A) $262^{\circ}$
B) $171^{\circ}+\mathrm{c}^{\circ}$
C) $262^{\circ}+\mathrm{c}^{\circ}$
D) $532^{\circ}-\mathrm{c}^{\circ}$

Question 44

Solve.

-A fence was installed surrounding a plot of land which had the following side measurements.

Write an expression, in simplified form, for the sum of the lengths of the sides of the plot of land.

A) $(79.69+z) m$
B) $127.87 \mathrm{~m}$
C) $(\mathrm{z}-127.87) \mathrm{m}$
D) $(127.87+z) m$

Question 45

Translate the sentence to an equation.

- $n$ minus 8 is 28 .

A) $\mathrm{n}-28=8$
B) $n-8=28$
C) $28-\mathrm{n}=8$
D) $8-\mathrm{n}=28$

Question 46

Translate the sentence to an equation.

-r decreased by 8 yields 15 .

A) $r-8=15$
B) $r-15=8$
C) $15-r=8$
D) $8-\mathrm{r}=15$

Question 47

Translate the sentence to an equation.

-The sum of 8 and $t$ is 28 .

A) $8+\mathrm{t}=8$
B) $8+28=\mathrm{t}$
C) $28+\mathrm{t}=8$
D) $8+t=28$

Question 48

Translate the sentence to an equation.

-n plus 7 equals 24 .

A) $24+n=7$
B) $n+7=24$
C) $n+7=7$
D) $7+24=n$

Question 49

Translate the sentence to an equation.

- $m$ decreased by 4 equals 13.7 .

A) $4-\mathrm{m}=13.7$
B) $\mathrm{m}-4=13.7$
C) $\mathrm{m}-13.7=4$
D) $13.7-4=\mathrm{m}$

Question 50

Translate the sentence to an equation.

-1.7 minus $q$ is equal to 10 .

A) $q-1.7=10$
B) $1.7-10=q$
C) $1.7-q=1.7$
D) $1.7-q=10$

Question 51

Translate the sentence to an equation.

-5 increased by $z$ yields 8 .

A) $5+z=5$
B) $5+z=8$
C) $5+8=\mathrm{z}$
D) $8+z=5$

Question 52

Translate the sentence to an equation.

-The sum of $\frac{11}{2}$ and $d$ is 11 .

A) $\frac{2}{11}+d=11$
B) $\frac{11}{2}+d=11$
C) $\frac{11}{2}+11=\mathrm{d}$
D) $11+\mathrm{d}=\frac{11}{2}$

Question 53

Translate the sentence to an equation.

-2 less than a number is equal to 9 .

A) $x-2=9$
B) $2-9=x$
C) $2-x=9$
D) $x-\frac{1}{2}=9$

Question 54

Translate the sentence to an equation.

-The difference between a number and 3 is the same as $1 \frac{1}{3}$ .

A) $x-\frac{1}{3}=1 \frac{1}{3}$
B) $3-x=1 \frac{1}{3}$
C) $x-3=1 \frac{1}{3}$
D) $1 \frac{1}{3}-3=x$

Question 55

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x+14=23$ , if $x=9$

Question 56

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x-6=6$ , if $x=12$

Question 57

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x-3.2=8$ , if $x=4.8$

Question 58

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x+\frac{5}{9}=4$ , if $x=\frac{31}{9}$

Question 59

Indicate whether the value of $x$ shown is a solution of the given equation.

- $13-x=7$ , if $x=20$

Question 60

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x-7.4=14$ , if $x=21.4$

Question 61

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x-3.2=15$ , if $x=11.8$

Question 62

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x+3=19.7$ , if $x=22.7$

Question 63

Indicate whether the value of $x$ shown is a solution of the given equation.

- $x-4.6=2.4$ , if $x=7$

Question 64

Identify the operation to perform on each side of the equation to isolate the variable.

- $t+3=15$

A) Subtract 15
B) Subtract 3
C) Add 3
D) Add 15

Question 65

Identify the operation to perform on each side of the equation to isolate the variable.

- $11+\mathrm{n}=38$

A) Subtract 11
B) Add 11
C) Subtract 38
D) Add 38

Question 66

Identify the operation to perform on each side of the equation to isolate the variable.

- $10=r+2$

A) Subtract 10
B) Add 10
C) Subtract 2
D) Add 2

Question 67

Identify the operation to perform on each side of the equation to isolate the variable.

- $19=3.4+q$

A) Subtract 3.4
B) Add 3.4
C) Add 19
D) Subtract 19

Question 68

Identify the operation to perform on each side of the equation to isolate the variable.

- $\mathrm{h}-6=14$

A) Add 6
B) Subtract 6
C) Subtract 14
D) Add 14

Question 69

Identify the operation to perform on each side of the equation to isolate the variable.

- $\mathrm{v}-14=1$

A) Add 1
B) Subtract 1
C) Subtract 14
D) Add 14

Question 70

Identify the operation to perform on each side of the equation to isolate the variable.

- $19=w-2$

A) Subtract 19
B) Add 2
C) Subtract 2
D) Add 19

Question 71

Identify the operation to perform on each side of the equation to isolate the variable.

- $18=\mathrm{k}-1.8$

A) Subtract 18
B) Add 18
C) Subtract 1.8
D) Add 1.8

Question 72

Solve the equation.

- $n+7=16$

A) $n=-9$
B) $n=16$
C) $n=23$
D) $n=9$

Question 73

Solve the equation.

- $r-3=7$

A) $r=0$
B) $r=4$
C) $r=10$
D) $r=-4$

Question 74

Solve the equation.

- $4=\mathrm{m}-2$

A) $\mathrm{m}=6$
B) $\mathrm{m}=0$
C) $\mathrm{m}=2$
D) $m=-2$

Question 75

Solve the equation.

- $x+\frac{3}{2}=12$

A) $x=\frac{21}{2}$
B) $x=9$
C) $x=\frac{27}{2}$
D) $x=\frac{9}{2}$

Question 76

Solve the equation.

- $x-2 \frac{2}{5}=11$

A) $x=13 \frac{2}{5}$
B) $x=8 \frac{3}{5}$
C) $x=13 \frac{3}{5}$
D) $x=9 \frac{3}{5}$

Question 77

Solve the equation.

- $t+8 \frac{1}{6}=20$

A) $t=12 \frac{5}{6}$
B) $t=12 \frac{1}{6}$
C) $t=11 \frac{5}{6}$
D) $t=28 \frac{1}{6}$

Question 78

Solve the equation.

- $m+2 \frac{3}{4}=5 \frac{3}{5}$

A) $m=4 \frac{17}{20}$
B) $m=-2 \frac{17}{20}$
C) $\mathrm{m}=8 \frac{7}{20}$
D) $m=2 \frac{17}{20}$

Question 79

Solve the equation.

- $x-6.4=14.1$

A) $x=7.2$
B) $x=20$
C) $x=20.5$
D) $x=7.7$

Question 80

Solve the equation.

- $y+4.48=8.6$

A) $y=13.08$
B) $y=0$
C) $\mathrm{y}=4.12$
D) $y=5.12$