Question 1

Identify the operation to perform on each side of the equation to isolate the variable.
-$\mathrm{h}-6=14$

Accepted Answer

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

Question 2

Identify the operation to perform on each side of the equation to isolate the variable.
-$18=\mathrm{k}-1.8$

Accepted Answer

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

Question 3

Evaluate the expression.
-$2 y$, if $y=\frac{1}{2}$

Accepted Answer

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

Question 4

Translate the sentence to an equation.
-A number y divided by 1000 is equal to 0.038 .

Accepted Answer

A)  $\frac{1000}{y}=0.038$ 
B)  $\frac{\mathrm{y}}{1000}=0.038$ 
C)  $\frac{y}{0.038}=1000$ 
D)  $y=38$ 
A)  $\frac{1000}{y}=0.038$ 
B)  $\frac{\mathrm{y}}{1000}=0.038$ 
C)  $\frac{y}{0.038}=1000$ 
D)  $y=38$

Question 5

Solve the problem.
-At the end of a woman's pregnancy, she had gained 32 pounds to weigh 161 pounds. Find her original weight.

Accepted Answer

A)  -129 pounds 
B)  193 pounds 
C)  129 pounds 
D)  161 pounds 
A)  -129 pounds 
B)  193 pounds 
C)  129 pounds 
D)  161 pounds

Question 6

Solve.
-$\frac{\mathrm{t}}{100}=2.7$

Accepted Answer

A)  $\mathrm{t}=0.027$ 
B)  $t=2700$ 
C)  $t=27$ 
D)  $t=270$ 
A)  $\mathrm{t}=0.027$ 
B)  $t=2700$ 
C)  $t=27$ 
D)  $t=270$

Question 7

Solve.
-$9 b=3 \frac{1}{2}$

Accepted Answer

A)  $b=31 \frac{1}{2}$ 
B)  $b=\frac{5}{6}$ 
C)  $b=\frac{7}{18}$ 
D)  $b=\frac{1}{2}$ 
A)  $b=31 \frac{1}{2}$ 
B)  $b=\frac{5}{6}$ 
C)  $b=\frac{7}{18}$ 
D)  $b=\frac{1}{2}$

Question 8

Translate the sentence to an equation then solve.
-$\frac{5}{8}$ of a number $n$ yields 10 .

Accepted Answer

A)  $10 \mathrm{n}=\frac{5}{8}, \mathrm{n}=16$ 
B)  $10 \mathrm{n}=\frac{5}{8}, \mathrm{n}=\frac{1}{10}$ 
C)  $\frac{5}{8} \mathrm{n}=10, \mathrm{n}=16$ 
D)  $\frac{5}{8} \mathrm{n}=10, \mathrm{n}=10$ 
A)  $10 \mathrm{n}=\frac{5}{8}, \mathrm{n}=16$ 
B)  $10 \mathrm{n}=\frac{5}{8}, \mathrm{n}=\frac{1}{10}$ 
C)  $\frac{5}{8} \mathrm{n}=10, \mathrm{n}=16$ 
D)  $\frac{5}{8} \mathrm{n}=10, \mathrm{n}=10$

Question 9

Solve the problem.
-You are traveling and notice you have driven 173 miles. The odometer reading at this point is 42,372 . Write an equation to describe the change in the odometer reading.

Accepted Answer

A)  $x=173+42,372$ 
B)  $x-173=42,372$ 
C)  $x+42,372=173$ 
D)  $x+173=42,372$ 
A)  $x=173+42,372$ 
B)  $x-173=42,372$ 
C)  $x+42,372=173$ 
D)  $x+173=42,372$

Question 10

Solve the equation.
-$m+2 \frac{3}{4}=5 \frac{3}{5}$

Accepted Answer

A)  $m=4 \frac{17}{20}$ 
B)  $m=-2 \frac{17}{20}$ 
C)  $\mathrm{m}=8 \frac{7}{20}$ 
D)  $m=2 \frac{17}{20}$ 
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 11

Indicate whether the value of $x$ shown is a solution to the given equation.
-$3 x=21, x=7$

Accepted Answer

A) True 
 B)False

Question 12

Translate the sentence into an equation, then solve.
-$n$ plus 9 is 16 .

Accepted Answer

A)  $9+\mathrm{n}=16, \mathrm{n}=25$ 
B)  $\mathrm{n}+9=16, \mathrm{n}=7$ 
C)  $\mathrm{n}+9=16, \mathrm{n}=-7$ 
D)  $\mathrm{n}+16=9, \mathrm{n}=-7$ 
A)  $9+\mathrm{n}=16, \mathrm{n}=25$ 
B)  $\mathrm{n}+9=16, \mathrm{n}=7$ 
C)  $\mathrm{n}+9=16, \mathrm{n}=-7$ 
D)  $\mathrm{n}+16=9, \mathrm{n}=-7$

Question 13

Complete the table.
-

Accepted Answer

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

Question 14

Translate the sentence to an equation.
-10 divided by a number $t$ is 7 .

Accepted Answer

A)  $\mathrm{t}=\frac{10}{7}$ 
B)  $\frac{\mathrm{t}}{10}=7$ 
C)  $\frac{7}{t}=10$ 
D)  $\frac{10}{t}=7$ 
A)  $\mathrm{t}=\frac{10}{7}$ 
B)  $\frac{\mathrm{t}}{10}=7$ 
C)  $\frac{7}{t}=10$ 
D)  $\frac{10}{t}=7$

Question 15

Evaluate the expression.
-$2 \div \mathrm{t}$, if $\mathrm{t}=\frac{5}{4}$

Accepted Answer

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

Question 16

Solve the equation.
-$\frac{\mathrm{k}}{7.8}=6.67$

Accepted Answer

A)  $\mathrm{k}=14.47$ 
B)  $\mathrm{k}=52.026$ 
C)  $\mathrm{k}=\frac{667}{780}$ 
D)  $\mathrm{k}=\frac{780}{667}$ 
A)  $\mathrm{k}=14.47$ 
B)  $\mathrm{k}=52.026$ 
C)  $\mathrm{k}=\frac{667}{780}$ 
D)  $\mathrm{k}=\frac{780}{667}$

Question 17

Identify the operation to perform on each side of the equation to isolate the variable.
-$10=r+2$

Accepted Answer

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

Question 18

Translate the expression into a word phrase
-$2 \div \mathrm{r}$

Accepted Answer

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

Question 19

Indicate whether the value of $x$ shown is a solution to the given equation.
-$\frac{x}{2}=6, x=3$

Accepted Answer

A) True 
 B)False

Question 20

Translate the sentence into an equation, then solve.
-r decreased by $\frac{1}{5}$ is 8 .

Accepted Answer

A)  $r-8=\frac{1}{5}, r=2 \frac{3}{5}$ 
B)  $\frac{1}{5}-r=8, r=8 \frac{1}{5}$ 
C)  $r-\frac{1}{5}=8, r=8 \frac{1}{5}$ 
D)  $r-\frac{1}{5}=8, r=7 \frac{4}{5}$ 
A)  $r-8=\frac{1}{5}, r=2 \frac{3}{5}$ 
B)  $\frac{1}{5}-r=8, r=8 \frac{1}{5}$ 
C)  $r-\frac{1}{5}=8, r=8 \frac{1}{5}$ 
D)  $r-\frac{1}{5}=8, r=7 \frac{4}{5}$

Identify the operation to perform on each side of the equation to isolate the variable. - $\mathrm{h}-6=14$

Identify the operation to perform on each side of the equation to isolate the variable. - $18=\mathrm{k}-1.8$

Evaluate the expression. - $2 y$ , if $y=\frac{1}{2}$

Translate the sentence to an equation. -A number y divided by 1000 is equal to 0.038 .

Solve the problem. -At the end of a woman's pregnancy, she had gained 32 pounds to weigh 161 pounds. Find her original weight.

Solve. - $\frac{\mathrm{t}}{100}=2.7$

Solve. - $9 b=3 \frac{1}{2}$

Translate the sentence to an equation then solve. - $\frac{5}{8}$ of a number $n$ yields 10 .

Solve the problem. -You are traveling and notice you have driven 173 miles. The odometer reading at this point is 42,372 . Write an equation to describe the change in the odometer reading.

Solve the equation. - $m+2 \frac{3}{4}=5 \frac{3}{5}$

Indicate whether the value of $x$ shown is a solution to the given equation. - $3 x=21, x=7$

Translate the sentence into an equation, then solve. - $n$ plus 9 is 16 .

Complete the table. -

Translate the sentence to an equation. -10 divided by a number $t$ is 7 .

Evaluate the expression. - $2 \div \mathrm{t}$ , if $\mathrm{t}=\frac{5}{4}$

Solve the equation. - $\frac{\mathrm{k}}{7.8}=6.67$

Identify the operation to perform on each side of the equation to isolate the variable. - $10=r+2$

Translate the expression into a word phrase - $2 \div \mathrm{r}$

Indicate whether the value of $x$ shown is a solution to the given equation. - $\frac{x}{2}=6, x=3$

Translate the sentence into an equation, then solve. -r decreased by $\frac{1}{5}$ is 8 .

Whole Numbers

Fractions

Decimals

Ratio and Proportion

Percents

Signed Numbers

Basic Statistics

More on Algebra

Measurement and Units

Basic Geometry

Filters

Exam 4: Basic Algebra: Solving Simple Equations

Identify the operation to perform on each side of the equation to isolate the variable. - h−6=14\mathrm{h}-6=14h−6=14

Identify the operation to perform on each side of the equation to isolate the variable. - 18=k−1.818=\mathrm{k}-1.818=k−1.8

Evaluate the expression. - 2y2 y2y , if y=12y=\frac{1}{2}y=21​