Question 1

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x-6=6$, if $x=12$

Accepted Answer

A) True 
 B)False

Question 2

Solve the equation.
-$3=\frac{r}{1.6}$

Accepted Answer

A)  $r=\frac{15}{8}$ 
B)  $r=4.8$ 
C)  $r=4.6$ 
D)  $r=\frac{8}{15}$ 
A)  $r=\frac{15}{8}$ 
B)  $r=4.8$ 
C)  $r=4.6$ 
D)  $r=\frac{8}{15}$

Question 3

Evaluate the expression.
-$\mathrm{n}+\frac{3}{8}$, if $\mathrm{n}=\frac{3}{8}$

Accepted Answer

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

Question 4

Translate the sentence into an equation, then solve.
-7.2 added to a number $t$ gives a result of 19.3 .

Accepted Answer

A)  $t+19.3=7.2, t=-12.1$ 
B)  $7.2+t=19.3, t=26.5$ 
C)  $t+7.2=19.3, t=12.1$ 
D)  $t+7.2=19.3, t=26.5$ 
A)  $t+19.3=7.2, t=-12.1$ 
B)  $7.2+t=19.3, t=26.5$ 
C)  $t+7.2=19.3, t=12.1$ 
D)  $t+7.2=19.3, t=26.5$

Question 5

Translate the sentence to an equation. Do not solve.
-The quotient of 9 and $y$ is 2.5 .

Accepted Answer

A)  $\frac{y}{9}=2.5$ 
B)  $9-y=2.5$ 
C)  $\frac{9}{y}=2.5$ 
D)  $9=\frac{y}{2.5}$ 
A)  $\frac{y}{9}=2.5$ 
B)  $9-y=2.5$ 
C)  $\frac{9}{y}=2.5$ 
D)  $9=\frac{y}{2.5}$

Question 6

Translate the sentence to an equation.
-The quotient of $r$ and 10 equals $\frac{1}{4}$.

Accepted Answer

A)  $\frac{r}{10}=\frac{1}{4}$ 
B)  $\frac{\mathrm{r}}{10}=4$ 
C)  $\mathrm{r}=\frac{5}{2}$ 
D)  $\frac{10}{\mathrm{r}}=\frac{1}{4}$ 
A)  $\frac{r}{10}=\frac{1}{4}$ 
B)  $\frac{\mathrm{r}}{10}=4$ 
C)  $\mathrm{r}=\frac{5}{2}$ 
D)  $\frac{10}{\mathrm{r}}=\frac{1}{4}$

Question 7

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x+\frac{5}{9}=4$, if $x=\frac{31}{9}$

Accepted Answer

A) True 
 B)False

Question 8

Translate the sentence to an equation.
-The product of $\frac{3}{8}$ and $n$ is 18 .

Accepted Answer

A)  $18 n=\frac{3}{8}$ 
B)  $\frac{3}{8} n=18$ 
C)  $\frac{8}{3} n=18$ 
D)  $(18)\left(\frac{3}{8}\right)=\mathrm{n}$ 
A)  $18 n=\frac{3}{8}$ 
B)  $\frac{3}{8} n=18$ 
C)  $\frac{8}{3} n=18$ 
D)  $(18)\left(\frac{3}{8}\right)=\mathrm{n}$

Question 9

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.

Accepted Answer

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

Question 10

Complete the table.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 11

Translate the sentence to an equation.
-$\frac{3}{4}$ of $y$ is 19 .

Accepted Answer

A)  $\frac{3}{4}(19)=y$ 
B)  $\frac{3}{4}=19$ 
C)  $\frac{4}{3} y=19$ 
D)  $\frac{3}{4} y=19$ 
A)  $\frac{3}{4}(19)=y$ 
B)  $\frac{3}{4}=19$ 
C)  $\frac{4}{3} y=19$ 
D)  $\frac{3}{4} y=19$

Question 12

Translate the sentence to an equation.
-r decreased by 8 yields 15 .

Accepted Answer

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

Question 13

Translate the expression into a word phrase
-$6 \mathrm{t}$

Accepted Answer

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

Question 14

Translate the expression into a word phrase
-$7+x$

Accepted Answer

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

Question 15

Evaluate the algebraic expression.
-$x-5.9$, for $x=5.9$

Accepted Answer

A)  11.8 
B)  -11.8 
C)  -5.9 
D)  0 
A)  11.8 
B)  -11.8 
C)  -5.9 
D)  0

Question 16

Solve.
-$72=\frac{y}{6}$

Accepted Answer

A)  $y=432$ 
B)  $y=66$ 
C)  $y=12$ 
D)  $y=433$ 
A)  $y=432$ 
B)  $y=66$ 
C)  $y=12$ 
D)  $y=433$

Question 17

Identify the operation to perform to the equation to isolate the variable.
-$32=16 t$

Accepted Answer

A)  Add 16 
B)  Multiply by 16 
C)  Divide by 16 
D)  Subtract 16 
A)  Add 16 
B)  Multiply by 16 
C)  Divide by 16 
D)  Subtract 16

Question 18

Indicate whether the value of $x$ shown is a solution to the given equation.
-$\frac{x}{1.1}=5, x=5.5$

Accepted Answer

A) True 
 B)False

Question 19

Write the algebraic expression in words.
-$\frac{a}{5}$

Accepted Answer

A)  the quotient of a and 5 
B)  5 divided by a 
C)  a decreased by 5 
D)  the product of a and 5 
A)  the quotient of a and 5 
B)  5 divided by a 
C)  a decreased by 5 
D)  the product of a and 5

Question 20

Identify the operation to perform on each side of the equation to isolate the variable.
-$11+\mathrm{n}=38$

Accepted Answer

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

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-6=6$ , if $x=12$

Solve the equation. - $3=\frac{r}{1.6}$

Evaluate the expression. - $\mathrm{n}+\frac{3}{8}$ , if $\mathrm{n}=\frac{3}{8}$

Translate the sentence into an equation, then solve. -7.2 added to a number $t$ gives a result of 19.3 .

Translate the sentence to an equation. Do not solve. -The quotient of 9 and $y$ is 2.5 .

Translate the sentence to an equation. -The quotient of $r$ and 10 equals $\frac{1}{4}$ .

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+\frac{5}{9}=4$ , if $x=\frac{31}{9}$

Translate the sentence to an equation. -The product of $\frac{3}{8}$ and $n$ is 18 .

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.

Complete the table. -

Translate the sentence to an equation. - $\frac{3}{4}$ of $y$ is 19 .

Translate the sentence to an equation. -r decreased by 8 yields 15 .

Translate the expression into a word phrase - $6 \mathrm{t}$

Translate the expression into a word phrase - $7+x$

Evaluate the algebraic expression. - $x-5.9$ , for $x=5.9$

Solve. - $72=\frac{y}{6}$

Identify the operation to perform to the equation to isolate the variable. - $32=16 t$

Indicate whether the value of $x$ shown is a solution to the given equation. - $\frac{x}{1.1}=5, x=5.5$

Write the algebraic expression in words. - $\frac{a}{5}$

Identify the operation to perform on each side of the equation to isolate the variable. - $11+\mathrm{n}=38$

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Exam 4: Basic Algebra: Solving Simple Equations

Indicate whether the value of xxx shown is a solution of the given equation. - x−6=6x-6=6x−6=6 , if x=12x=12x=12

Solve the equation. - 3=r1.63=\frac{r}{1.6}3=1.6r​

Evaluate the expression. - n+38\mathrm{n}+\frac{3}{8}n+83​ , if n=38\mathrm{n}=\frac{3}{8}n=83​

Translate the sentence into an equation, then solve. -7.2 added to a number ttt gives a result of 19.3 .

Translate the sentence to an equation. Do not solve. -The quotient of 9 and yyy is 2.5 .

Translate the sentence to an equation. -The quotient of rrr and 10 equals 14\frac{1}{4}41​ .

Indicate whether the value of xxx shown is a solution of the given equation. - x+59=4x+\frac{5}{9}=4x+95​=4 , if x=319x=\frac{31}{9}x=931​

Translate the sentence to an equation. -The product of 38\frac{3}{8}83​ and nnn is 18 .

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

Complete the table. -

Translate the sentence to an equation. - 34\frac{3}{4}43​ of yyy is 19 .

Translate the sentence to an equation. -r decreased by 8 yields 15 .

Translate the expression into a word phrase - 6t6 \mathrm{t}6t

Translate the expression into a word phrase - 7+x7+x7+x

Evaluate the algebraic expression. - x−5.9x-5.9x−5.9 , for x=5.9x=5.9x=5.9

Solve. - 72=y672=\frac{y}{6}72=6y​

Identify the operation to perform to the equation to isolate the variable. - 32=16t32=16 t32=16t

Indicate whether the value of xxx shown is a solution to the given equation. - x1.1=5,x=5.5\frac{x}{1.1}=5, x=5.51.1x​=5,x=5.5

Write the algebraic expression in words. - a5\frac{a}{5}5a​

Identify the operation to perform on each side of the equation to isolate the variable. - 11+n=3811+\mathrm{n}=3811+n=38

Whole Numbers

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Decimals

Ratio and Proportion

Percents

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Basic Statistics

More on Algebra

Measurement and Units

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Filters

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-6=6$ , if $x=12$

Solve the equation. - $3=\frac{r}{1.6}$

Evaluate the expression. - $\mathrm{n}+\frac{3}{8}$ , if $\mathrm{n}=\frac{3}{8}$

Translate the sentence into an equation, then solve. -7.2 added to a number $t$ gives a result of 19.3 .

Translate the sentence to an equation. Do not solve. -The quotient of 9 and $y$ is 2.5 .

Translate the sentence to an equation. -The quotient of $r$ and 10 equals $\frac{1}{4}$ .

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+\frac{5}{9}=4$ , if $x=\frac{31}{9}$

Translate the sentence to an equation. -The product of $\frac{3}{8}$ and $n$ is 18 .

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.

Translate the sentence to an equation. - $\frac{3}{4}$ of $y$ is 19 .

Translate the expression into a word phrase - $6 \mathrm{t}$

Translate the expression into a word phrase - $7+x$

Evaluate the algebraic expression. - $x-5.9$ , for $x=5.9$

Solve. - $72=\frac{y}{6}$

Identify the operation to perform to the equation to isolate the variable. - $32=16 t$

Indicate whether the value of $x$ shown is a solution to the given equation. - $\frac{x}{1.1}=5, x=5.5$

Write the algebraic expression in words. - $\frac{a}{5}$

Identify the operation to perform on each side of the equation to isolate the variable. - $11+\mathrm{n}=38$