Question 1

Translate the sentence to an equation then solve.
-A number $\mathrm{k}$ divided by 8.8 is the same as 2 .

Accepted Answer

A)  $2=8.8 \mathrm{k}, \mathrm{k}=\frac{5}{22}$ 
B)  $\frac{\mathrm{k}}{8.8}=2, \mathrm{k}=\frac{22}{5}$ 
C)  $2=8.8 \mathrm{k}, \mathrm{k}=-6.8$ 
D)  $\frac{\mathrm{k}}{8.8}=2, \mathrm{k}=17.6$ 
A)  $2=8.8 \mathrm{k}, \mathrm{k}=\frac{5}{22}$ 
B)  $\frac{\mathrm{k}}{8.8}=2, \mathrm{k}=\frac{22}{5}$ 
C)  $2=8.8 \mathrm{k}, \mathrm{k}=-6.8$ 
D)  $\frac{\mathrm{k}}{8.8}=2, \mathrm{k}=17.6$

Question 2

Solve.
-$x+4.2=11$

Accepted Answer

A)  $x=14.7$ 
B)  $x=6.3$ 
C)  $x=6.8$ 
D)  $x=15.2$ 
A)  $x=14.7$ 
B)  $x=6.3$ 
C)  $x=6.8$ 
D)  $x=15.2$

Question 3

Evaluate the expression.
-$11-\mathrm{m}$, if $\mathrm{m}=9.7$

Accepted Answer

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

Question 4

Solve.
-The perimeter of a square is 52 units. Write and solve an equation to find the length of one side, $s$, of the square.

Accepted Answer

A)  $s^{2}=52 ; s=26$ 
B)  $4 \mathrm{~s}=52 ; \mathrm{s}=169$ 
C)  $4 \mathrm{~s}=52 ; \mathrm{s}=13$ 
D)  $\frac{\mathrm{s}}{4}=52 ; \mathrm{s}=13$ 
A)  $s^{2}=52 ; s=26$ 
B)  $4 \mathrm{~s}=52 ; \mathrm{s}=169$ 
C)  $4 \mathrm{~s}=52 ; \mathrm{s}=13$ 
D)  $\frac{\mathrm{s}}{4}=52 ; \mathrm{s}=13$

Question 5

Write an equation. Then, solve and check.
-The population of a city is 4 million. It is estimated that this is about $\frac{2}{3}$ of the projected population fifty years later. What is the projected population of the city?

Accepted Answer

A)  $4=\frac{2}{3} x ; x=2 \frac{2}{3}$ million people 
B)  $4=\frac{2}{3} x ; x=6$ million people 
C)  $4=x-\frac{2}{3} ; x=4 \frac{2}{3}$ million people 
D)  $x=\frac{2}{3} \cdot 4 ; x=2 \frac{2}{3}$ million people 
A)  $4=\frac{2}{3} x ; x=2 \frac{2}{3}$ million people 
B)  $4=\frac{2}{3} x ; x=6$ million people 
C)  $4=x-\frac{2}{3} ; x=4 \frac{2}{3}$ million people 
D)  $x=\frac{2}{3} \cdot 4 ; x=2 \frac{2}{3}$ million people

Question 6

Write an equation. Then, solve and check.
-As a result of a cold front moving into the region, the temperature dropped 7.4 degrees Fahrenheit to $73.5^{\circ} \mathrm{F}$. What was the temperature before the cold front moved into the region?

Accepted Answer

A)  $\mathrm{x}-7.4=73.5 ; \mathrm{x}=66.1^{\circ} \mathrm{F}$ 
B)  $73.5-x=7.4 ; x=80.9^{\circ} \mathrm{F}$ 
C)  $x=73.5-7.4 ; x=66.1^{\circ} \mathrm{F}$ 
D)  $x-7.4=73.5 ; x=80.9^{\circ} \mathrm{F}$ 
A)  $\mathrm{x}-7.4=73.5 ; \mathrm{x}=66.1^{\circ} \mathrm{F}$ 
B)  $73.5-x=7.4 ; x=80.9^{\circ} \mathrm{F}$ 
C)  $x=73.5-7.4 ; x=66.1^{\circ} \mathrm{F}$ 
D)  $x-7.4=73.5 ; x=80.9^{\circ} \mathrm{F}$

Question 7

Translate the sentence to an equation.
-$n$ minus 8 is 28 .

Accepted Answer

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

Question 8

Translate the expression into a word phrase
-$8.1 \mathrm{z}$

Accepted Answer

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 
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 9

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.

Accepted Answer

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

Question 10

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x-3.2=15$, if $x=11.8$

Accepted Answer

A) True 
 B)False

Question 11

Translate the sentence to an equation.
-A number $x$ divided by 3 equals $\frac{1}{10}$.

Accepted Answer

A)  $\frac{x}{3}=10$ 
B)  $\frac{x}{3}=\frac{1}{10}$ 
C)  $x=3$ 
D)  $\frac{3}{x}=\frac{1}{10}$ 
A)  $\frac{x}{3}=10$ 
B)  $\frac{x}{3}=\frac{1}{10}$ 
C)  $x=3$ 
D)  $\frac{3}{x}=\frac{1}{10}$

Question 12

Indicate whether the value of $x$ shown is a solution to the given equation.
-$\frac{x}{4}=\frac{5}{9}, x=\frac{20}{9}$

Accepted Answer

A) True 
 B)False

Question 13

Solve the equation.
-$3.6 y=108$

Accepted Answer

A)  $y=3.6$ 
B)  $y=72$ 
C)  $y=30$ 
D)  $y=108$ 
A)  $y=3.6$ 
B)  $y=72$ 
C)  $y=30$ 
D)  $y=108$

Question 14

Translate the sentence to an equation then solve.
-1.8 times y is equal to 36 .

Accepted Answer

A)  $36 y=1.8, y=20$ 
B)  $1.8 \mathrm{y}=36, \mathrm{y}=20$ 
C)  $\frac{\mathrm{y}}{1.8}=36, \mathrm{y}=1296$ 
D)  $1.8 \mathrm{y}=36, \mathrm{y}=1.8$ 
A)  $36 y=1.8, y=20$ 
B)  $1.8 \mathrm{y}=36, \mathrm{y}=20$ 
C)  $\frac{\mathrm{y}}{1.8}=36, \mathrm{y}=1296$ 
D)  $1.8 \mathrm{y}=36, \mathrm{y}=1.8$

Question 15

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.

Accepted Answer

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

Question 16

Translate the sentence to an equation.
-The difference between a number and 3 is the same as $1 \frac{1}{3}$.

Accepted Answer

A)  $x-\frac{1}{3}=1 \frac{1}{3}$ 
B)  $3-x=1 \frac{1}{3}$ 
C)  $x-3=1 \frac{1}{3}$ 
D)  $1 \frac{1}{3}-3=x$ 
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 17

Identify the operation to perform to the equation to isolate the variable.
-$\frac{5}{6} x=14$

Accepted Answer

A)  Divide by 5 
B)  Multiply by $\frac{5}{6}$ or Divide by $\frac{6}{5}$ 
C)  Multiply by 6 
D)  Multiply by $\frac{6}{5}$ or Divide by $\frac{5}{6}$ 
A)  Divide by 5 
B)  Multiply by $\frac{5}{6}$ or Divide by $\frac{6}{5}$ 
C)  Multiply by 6 
D)  Multiply by $\frac{6}{5}$ or Divide by $\frac{5}{6}$

Question 18

Identify the operation to perform on each side of the equation to isolate the variable.
-$\mathrm{v}-14=1$

Accepted Answer

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

Question 19

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x+14=23$, if $x=9$

Accepted Answer

A) True 
 B)False

Question 20

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x-7.4=14$, if $x=21.4$

Accepted Answer

A) True 
 B)False

Translate the sentence to an equation then solve. -A number $\mathrm{k}$ divided by 8.8 is the same as 2 .

Solve. - $x+4.2=11$

Evaluate the expression. - $11-\mathrm{m}$ , if $\mathrm{m}=9.7$

Solve. -The perimeter of a square is 52 units. Write and solve an equation to find the length of one side, $s$ , of the square.

Write an equation. Then, solve and check. -The population of a city is 4 million. It is estimated that this is about $\frac{2}{3}$ of the projected population fifty years later. What is the projected population of the city?

Write an equation. Then, solve and check. -As a result of a cold front moving into the region, the temperature dropped 7.4 degrees Fahrenheit to $73.5^{\circ} \mathrm{F}$ . What was the temperature before the cold front moved into the region?

Translate the sentence to an equation. - $n$ minus 8 is 28 .

Translate the expression into a word phrase - $8.1 \mathrm{z}$

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.

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-3.2=15$ , if $x=11.8$

Translate the sentence to an equation. -A number $x$ divided by 3 equals $\frac{1}{10}$ .

Indicate whether the value of $x$ shown is a solution to the given equation. - $\frac{x}{4}=\frac{5}{9}, x=\frac{20}{9}$

Solve the equation. - $3.6 y=108$

Translate the sentence to an equation then solve. -1.8 times y is equal to 36 .

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.

Translate the sentence to an equation. -The difference between a number and 3 is the same as $1 \frac{1}{3}$ .

Identify the operation to perform to the equation to isolate the variable. - $\frac{5}{6} x=14$

Identify the operation to perform on each side of the equation to isolate the variable. - $\mathrm{v}-14=1$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+14=23$ , if $x=9$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-7.4=14$ , if $x=21.4$

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Exam 4: Basic Algebra: Solving Simple Equations

Translate the sentence to an equation then solve. -A number k\mathrm{k}k divided by 8.8 is the same as 2 .

Solve. - x+4.2=11x+4.2=11x+4.2=11

Evaluate the expression. - 11−m11-\mathrm{m}11−m , if m=9.7\mathrm{m}=9.7m=9.7

Solve. -The perimeter of a square is 52 units. Write and solve an equation to find the length of one side, sss , of the square.

Write an equation. Then, solve and check. -The population of a city is 4 million. It is estimated that this is about 23\frac{2}{3}32​ of the projected population fifty years later. What is the projected population of the city?

Write an equation. Then, solve and check. -As a result of a cold front moving into the region, the temperature dropped 7.4 degrees Fahrenheit to 73.5∘F73.5^{\circ} \mathrm{F}73.5∘F . What was the temperature before the cold front moved into the region?

Translate the sentence to an equation. - nnn minus 8 is 28 .

Translate the expression into a word phrase - 8.1z8.1 \mathrm{z}8.1z

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.

Indicate whether the value of xxx shown is a solution of the given equation. - x−3.2=15x-3.2=15x−3.2=15 , if x=11.8x=11.8x=11.8

Translate the sentence to an equation. -A number xxx divided by 3 equals 110\frac{1}{10}101​ .

Indicate whether the value of xxx shown is a solution to the given equation. - x4=59,x=209\frac{x}{4}=\frac{5}{9}, x=\frac{20}{9}4x​=95​,x=920​

Solve the equation. - 3.6y=1083.6 y=1083.6y=108

Translate the sentence to an equation then solve. -1.8 times y is equal to 36 .

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 ppp , and the interest is $74.84\$ 74.84$74.84 , write an algebraic expression for the total payment.

Translate the sentence to an equation. -The difference between a number and 3 is the same as 1131 \frac{1}{3}131​ .

Identify the operation to perform to the equation to isolate the variable. - 56x=14\frac{5}{6} x=1465​x=14

Identify the operation to perform on each side of the equation to isolate the variable. - v−14=1\mathrm{v}-14=1v−14=1

Indicate whether the value of xxx shown is a solution of the given equation. - x+14=23x+14=23x+14=23 , if x=9x=9x=9

Indicate whether the value of xxx shown is a solution of the given equation. - x−7.4=14x-7.4=14x−7.4=14 , if x=21.4x=21.4x=21.4

Whole Numbers

Fractions

Decimals

Ratio and Proportion

Percents

Signed Numbers

Basic Statistics

More on Algebra

Measurement and Units

Basic Geometry

Filters

Translate the sentence to an equation then solve. -A number $\mathrm{k}$ divided by 8.8 is the same as 2 .

Solve. - $x+4.2=11$

Evaluate the expression. - $11-\mathrm{m}$ , if $\mathrm{m}=9.7$

Solve. -The perimeter of a square is 52 units. Write and solve an equation to find the length of one side, $s$ , of the square.

Write an equation. Then, solve and check. -The population of a city is 4 million. It is estimated that this is about $\frac{2}{3}$ of the projected population fifty years later. What is the projected population of the city?

Write an equation. Then, solve and check. -As a result of a cold front moving into the region, the temperature dropped 7.4 degrees Fahrenheit to $73.5^{\circ} \mathrm{F}$ . What was the temperature before the cold front moved into the region?

Translate the sentence to an equation. - $n$ minus 8 is 28 .

Translate the expression into a word phrase - $8.1 \mathrm{z}$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-3.2=15$ , if $x=11.8$

Translate the sentence to an equation. -A number $x$ divided by 3 equals $\frac{1}{10}$ .

Indicate whether the value of $x$ shown is a solution to the given equation. - $\frac{x}{4}=\frac{5}{9}, x=\frac{20}{9}$

Solve the equation. - $3.6 y=108$

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.

Translate the sentence to an equation. -The difference between a number and 3 is the same as $1 \frac{1}{3}$ .

Identify the operation to perform to the equation to isolate the variable. - $\frac{5}{6} x=14$

Identify the operation to perform on each side of the equation to isolate the variable. - $\mathrm{v}-14=1$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+14=23$ , if $x=9$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-7.4=14$ , if $x=21.4$