Question 1

Identify the operation to perform to the equation to isolate the variable.
-$\frac{1}{3} y=\frac{4}{3}$

Accepted Answer

A)  Multiply by $\frac{1}{3}$ or Divide by 3 
B)  Multiply by 3 or Divide by $\frac{1}{3}$ 
C)  Multiply by $\frac{4}{3}$ or Divide by $\frac{3}{4}$ 
D)  Multiply by 9 or Divide by 9 
A)  Multiply by $\frac{1}{3}$ or Divide by 3 
B)  Multiply by 3 or Divide by $\frac{1}{3}$ 
C)  Multiply by $\frac{4}{3}$ or Divide by $\frac{3}{4}$ 
D)  Multiply by 9 or Divide by 9

Question 2

Complete the table.
-

Accepted Answer

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

Question 3

Solve the problem.
-At the end of a woman's pregnancy, she had gained 18 pounds to weigh 158 pounds. Write an equation to describe the change in weight.

Accepted Answer

A)  $18-\mathrm{x}=158$ 
B)  $x+18=158$ 
C)  $x-18=158$ 
D)  $x+158=18$ 
A)  $18-\mathrm{x}=158$ 
B)  $x+18=158$ 
C)  $x-18=158$ 
D)  $x+158=18$

Question 4

Translate the sentence into an equation, then solve.
-A number $x$ decreased by 7.68 is 12.9 .

Accepted Answer

A)  $x-7.68=12.9, x=5.22$ 
B)  $x-7.68=12.9, x=20.58$ 
C)  $7.68-x=12.9, x=5.22$ 
D)  $7.68-x=12.9, x=20.58$ 
A)  $x-7.68=12.9, x=5.22$ 
B)  $x-7.68=12.9, x=20.58$ 
C)  $7.68-x=12.9, x=5.22$ 
D)  $7.68-x=12.9, x=20.58$

Question 5

Translate the sentence to an equation.
-9 is equal to 6 times $f$.

Accepted Answer

A)  $9 \mathrm{f}=6$ 
B)  $9=6+\mathrm{f}$ 
C)  $\frac{6}{f}=9$ 
D)  $9=6 \mathrm{f}$ 
A)  $9 \mathrm{f}=6$ 
B)  $9=6+\mathrm{f}$ 
C)  $\frac{6}{f}=9$ 
D)  $9=6 \mathrm{f}$

Question 6

Translate the word phrase into an algebraic expression.
-$3 x$ divided by $k$

Accepted Answer

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

Question 7

Translate the expression into a word phrase
-$\frac{7}{n}$

Accepted Answer

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

Question 8

Identify the operation to perform on each side of the equation to isolate the variable.
-$19=3.4+q$

Accepted Answer

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

Question 9

Translate the word phrase into an algebraic expression.
-4 more than $3 x$

Accepted Answer

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

Question 10

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.

Accepted Answer

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

Question 11

Solve the problem.
-If two angles are complementary, the sum of their angles is $90^{\circ}$. If one angle measures $23^{\circ}$, find the measure of the other angle.

Accepted Answer

A)  $44^{\circ}$ 
B)  $67^{\circ}$ 
C)  $157^{\circ}$ 
D)  $90^{\circ}$ 
A)  $44^{\circ}$ 
B)  $67^{\circ}$ 
C)  $157^{\circ}$ 
D)  $90^{\circ}$

Question 12

Translate the expression into a word phrase
-$x+1$

Accepted Answer

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

Question 13

Translate the expression into a word phrase
-$9-n$

Accepted Answer

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

Question 14

Solve.
-A hot air balloon is at an altitude of 344 feet, which is $\frac{1}{6}$ of the altitude it was at before descending. Write and solve an equation to determine the height, $\mathrm{h}$, of the balloon before its descent.

Accepted Answer

A)  $344=\frac{1}{6} \mathrm{~h} ; \frac{172}{3} \mathrm{ft}$ 
B)  $344=\frac{1}{6} \mathrm{~h} ; 2064 \mathrm{ft}$ 
C)  $344=6 \mathrm{~h} ; 2064 \mathrm{ft}$ 
D)  $344=6 \mathrm{~h} ; \frac{172}{3} \mathrm{ft}$ 
A)  $344=\frac{1}{6} \mathrm{~h} ; \frac{172}{3} \mathrm{ft}$ 
B)  $344=\frac{1}{6} \mathrm{~h} ; 2064 \mathrm{ft}$ 
C)  $344=6 \mathrm{~h} ; 2064 \mathrm{ft}$ 
D)  $344=6 \mathrm{~h} ; \frac{172}{3} \mathrm{ft}$

Question 15

Solve the equation.
-$\frac{5}{12}=\frac{4}{9} x$

Accepted Answer

A)  $x=\frac{15}{16}$ 
B)  $x=\frac{5}{27}$ 
C)  $x=\frac{27}{5}$ 
D)  $x=\frac{16}{15}$ 
A)  $x=\frac{15}{16}$ 
B)  $x=\frac{5}{27}$ 
C)  $x=\frac{27}{5}$ 
D)  $x=\frac{16}{15}$

Question 16

Identify the operation to perform to the equation to isolate the variable.
-$24=\frac{1}{2} n$

Accepted Answer

A)  Divide by 3 
B)  Multiply by 6 
C)  Multiply by $\frac{1}{2}$ or Divide by 2 
D)  Multiply by 2 or Divide by $\frac{1}{2}$ 
A)  Divide by 3 
B)  Multiply by 6 
C)  Multiply by $\frac{1}{2}$ or Divide by 2 
D)  Multiply by 2 or Divide by $\frac{1}{2}$

Question 17

Solve.
-Each month you save $\$ 82$, which is $\frac{1}{6}$ of your monthly income, $\mathrm{m}$. Write an equation that could be used to find your monthly income.

Accepted Answer

A)  $6 m=82$ 
B)  $\frac{1}{6} \mathrm{~m}=82$ 
C)  $\mathrm{m}-\frac{1}{6}=82$ 
D)  $\mathrm{m}=\frac{1}{6} \cdot 82$ 
A)  $6 m=82$ 
B)  $\frac{1}{6} \mathrm{~m}=82$ 
C)  $\mathrm{m}-\frac{1}{6}=82$ 
D)  $\mathrm{m}=\frac{1}{6} \cdot 82$

Question 18

Solve the equation.
-$4=\mathrm{m}-2$

Accepted Answer

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

Question 19

Translate the word phrase into an algebraic expression.
-6 times a number $x$

Accepted Answer

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

Question 20

Indicate whether the value of $x$ shown is a solution of the given equation.
-$13-x=7$, if $x=20$

Accepted Answer

A) True 
 B)False

Identify the operation to perform to the equation to isolate the variable. - $\frac{1}{3} y=\frac{4}{3}$

Complete the table. -

Solve the problem. -At the end of a woman's pregnancy, she had gained 18 pounds to weigh 158 pounds. Write an equation to describe the change in weight.

Translate the sentence into an equation, then solve. -A number $x$ decreased by 7.68 is 12.9 .

Translate the sentence to an equation. -9 is equal to 6 times $f$ .

Translate the word phrase into an algebraic expression. - $3 x$ divided by $k$

Translate the expression into a word phrase - $\frac{7}{n}$

Identify the operation to perform on each side of the equation to isolate the variable. - $19=3.4+q$

Translate the word phrase into an algebraic expression. -4 more than $3 x$

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.

Solve the problem. -If two angles are complementary, the sum of their angles is $90^{\circ}$ . If one angle measures $23^{\circ}$ , find the measure of the other angle.

Translate the expression into a word phrase - $x+1$

Translate the expression into a word phrase - $9-n$

Solve. -A hot air balloon is at an altitude of 344 feet, which is $\frac{1}{6}$ of the altitude it was at before descending. Write and solve an equation to determine the height, $\mathrm{h}$ , of the balloon before its descent.

Solve the equation. - $\frac{5}{12}=\frac{4}{9} x$

Identify the operation to perform to the equation to isolate the variable. - $24=\frac{1}{2} n$

Solve. -Each month you save $\$ 82$ , which is $\frac{1}{6}$ of your monthly income, $\mathrm{m}$ . Write an equation that could be used to find your monthly income.

Solve the equation. - $4=\mathrm{m}-2$

Translate the word phrase into an algebraic expression. -6 times a number $x$

Indicate whether the value of $x$ shown is a solution of the given equation. - $13-x=7$ , if $x=20$

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Exam 4: Basic Algebra: Solving Simple Equations

Identify the operation to perform to the equation to isolate the variable. - 13y=43\frac{1}{3} y=\frac{4}{3}31​y=34​

Complete the table. -

Solve the problem. -At the end of a woman's pregnancy, she had gained 18 pounds to weigh 158 pounds. Write an equation to describe the change in weight.

Translate the sentence into an equation, then solve. -A number xxx decreased by 7.68 is 12.9 .

Translate the sentence to an equation. -9 is equal to 6 times fff .

Translate the word phrase into an algebraic expression. - 3x3 x3x divided by kkk

Translate the expression into a word phrase - 7n\frac{7}{n}n7​

Identify the operation to perform on each side of the equation to isolate the variable. - 19=3.4+q19=3.4+q19=3.4+q

Translate the word phrase into an algebraic expression. -4 more than 3x3 x3x

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

Solve the problem. -If two angles are complementary, the sum of their angles is 90∘90^{\circ}90∘ . If one angle measures 23∘23^{\circ}23∘ , find the measure of the other angle.

Translate the expression into a word phrase - x+1x+1x+1

Translate the expression into a word phrase - 9−n9-n9−n

Solve. -A hot air balloon is at an altitude of 344 feet, which is 16\frac{1}{6}61​ of the altitude it was at before descending. Write and solve an equation to determine the height, h\mathrm{h}h , of the balloon before its descent.

Solve the equation. - 512=49x\frac{5}{12}=\frac{4}{9} x125​=94​x

Identify the operation to perform to the equation to isolate the variable. - 24=12n24=\frac{1}{2} n24=21​n

Solve. -Each month you save $82\$ 82$82 , which is 16\frac{1}{6}61​ of your monthly income, m\mathrm{m}m . Write an equation that could be used to find your monthly income.

Solve the equation. - 4=m−24=\mathrm{m}-24=m−2

Translate the word phrase into an algebraic expression. -6 times a number xxx

Indicate whether the value of xxx shown is a solution of the given equation. - 13−x=713-x=713−x=7 , if x=20x=20x=20