Question 1

Solve the equation.
-$r-3=7$

Accepted Answer

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

Question 2

Translate the word phrase into an algebraic expression.
-$\$ 147$ less the cost $x$

Accepted Answer

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

Question 3

Identify the operation to perform to the equation to isolate the variable.
-$118.5 n=3.95$

Accepted Answer

A)  Divide by 118.5 
B)  Divide by 3.95 
C)  Multiply by 3.95 
D)  Multiply by 118.5 
A)  Divide by 118.5 
B)  Divide by 3.95 
C)  Multiply by 3.95 
D)  Multiply by 118.5

Question 4

Identify the operation to perform on each side of the equation to isolate the variable.
-$t+3=15$

Accepted Answer

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

Question 5

Translate the sentence to an equation then solve.
-8 is equal to the quotient of $r$ and 3.4 .

Accepted Answer

A)  $8=3.4 \mathrm{r}, \mathrm{r}=4.6$ 
B)  $8=\frac{r}{3.4}, r=\frac{17}{40}$ 
C)  $8=\frac{\mathrm{r}}{3.4}, \mathrm{r}=27.2$ 
D)  $8=3.4 \mathrm{r}, \mathrm{r}=\frac{40}{17}$ 
A)  $8=3.4 \mathrm{r}, \mathrm{r}=4.6$ 
B)  $8=\frac{r}{3.4}, r=\frac{17}{40}$ 
C)  $8=\frac{\mathrm{r}}{3.4}, \mathrm{r}=27.2$ 
D)  $8=3.4 \mathrm{r}, \mathrm{r}=\frac{40}{17}$

Question 6

Identify the operation to perform to the equation to isolate the variable.
-$\frac{\mathrm{r}}{3}=9.5$

Accepted Answer

A)  Divide by 9.5 
B)  Divide by 3 
C)  Multiply by 9.5 
D)  Multiply by 3 
A)  Divide by 9.5 
B)  Divide by 3 
C)  Multiply by 9.5 
D)  Multiply by 3

Question 7

Indicate whether the value of $x$ shown is a solution to the given equation.
-$2.0 x=6, x=\frac{3}{10}$

Accepted Answer

A) True 
 B)False

Question 8

Translate the sentence to an equation.
-n plus 7 equals 24 .

Accepted Answer

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

Question 9

Solve the problem.
-Write a word problem that corresponds to the following equation. $z-5=7$.

Accepted Answer

A possible answer could be: In

Question 10

Evaluate the expression.
-$2 x$, if $x=6$

Accepted Answer

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

Question 11

Translate the sentence into an equation, then solve.
-If 4.61 is added to $j$, the sum is 12.4 .

Accepted Answer

A)  $4.61+j=12.4, j=17.01$ 
B)  $\mathrm{j}+12.4=4.61, \mathrm{j}=-7.79$ 
C)  $j+4.61=12.4, j=7.79$ 
D)  $j+4.61=12.4, j=-7.79$ 
A)  $4.61+j=12.4, j=17.01$ 
B)  $\mathrm{j}+12.4=4.61, \mathrm{j}=-7.79$ 
C)  $j+4.61=12.4, j=7.79$ 
D)  $j+4.61=12.4, j=-7.79$

Question 12

Translate the sentence to an equation.
-$m$ decreased by 4 equals 13.7 .

Accepted Answer

A)  $4-\mathrm{m}=13.7$ 
B)  $\mathrm{m}-4=13.7$ 
C)  $\mathrm{m}-13.7=4$ 
D)  $13.7-4=\mathrm{m}$ 
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 13

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x-3.2=8$, if $x=4.8$

Accepted Answer

A) True 
 B)False

Question 14

Identify the operation to perform to the equation to isolate the variable.
-$\frac{\mathrm{n}}{8}=\frac{2}{9}$

Accepted Answer

A)  Multiply by 8 
B)  Multiply by 2 
C)  Divide by $\frac{2}{9}$ 
D)  Divide by 8 
A)  Multiply by 8 
B)  Multiply by 2 
C)  Divide by $\frac{2}{9}$ 
D)  Divide by 8

Question 15

Solve.
-Yesterday Jill ran 12 kilometers. That is 0.75 of the distance that she will run in a race next week. Write and solve an equation to determine the distance, $d$, that she will run in the race next week.

Accepted Answer

A)  $12=0.75 \mathrm{~d} ; 9 \mathrm{~km}$ 
B)  $12=\frac{\mathrm{d}}{0.75} ; 9 \mathrm{~km}$ 
C)  $12=0.75 \mathrm{~d} ; 16 \mathrm{~km}$ 
D)  $12=\frac{\mathrm{d}}{0.75} ; 16 \mathrm{~km}$ 
A)  $12=0.75 \mathrm{~d} ; 9 \mathrm{~km}$ 
B)  $12=\frac{\mathrm{d}}{0.75} ; 9 \mathrm{~km}$ 
C)  $12=0.75 \mathrm{~d} ; 16 \mathrm{~km}$ 
D)  $12=\frac{\mathrm{d}}{0.75} ; 16 \mathrm{~km}$

Question 16

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

Accepted Answer

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

Question 17

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.

Accepted Answer

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

Question 18

Translate the expression into a word phrase
-$q-2$

Accepted Answer

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

Question 19

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x+3=19.7$, if $x=22.7$

Accepted Answer

A) True 
 B)False

Question 20

Write the algebraic expression in words.
-$n-7$

Accepted Answer

A)  $n$ less than 7 
B)  7 less than $\mathrm{n}$ 
C)  the quotient of $n$ and 7 
D)  7 decreased by $n$ 
A)  $n$ less than 7 
B)  7 less than $\mathrm{n}$ 
C)  the quotient of $n$ and 7 
D)  7 decreased by $n$

Solve the equation. - $r-3=7$

Translate the word phrase into an algebraic expression. - $\$ 147$ less the cost $x$

Identify the operation to perform to the equation to isolate the variable. - $118.5 n=3.95$

Identify the operation to perform on each side of the equation to isolate the variable. - $t+3=15$

Translate the sentence to an equation then solve. -8 is equal to the quotient of $r$ and 3.4 .

Identify the operation to perform to the equation to isolate the variable. - $\frac{\mathrm{r}}{3}=9.5$

Indicate whether the value of $x$ shown is a solution to the given equation. - $2.0 x=6, x=\frac{3}{10}$

Translate the sentence to an equation. -n plus 7 equals 24 .

Solve the problem. -Write a word problem that corresponds to the following equation. $z-5=7$ .

Evaluate the expression. - $2 x$ , if $x=6$

Translate the sentence into an equation, then solve. -If 4.61 is added to $j$ , the sum is 12.4 .

Translate the sentence to an equation. - $m$ decreased by 4 equals 13.7 .

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-3.2=8$ , if $x=4.8$

Identify the operation to perform to the equation to isolate the variable. - $\frac{\mathrm{n}}{8}=\frac{2}{9}$

Solve. -Yesterday Jill ran 12 kilometers. That is 0.75 of the distance that she will run in a race next week. Write and solve an equation to determine the distance, $d$ , that she will run in the race next week.

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

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.

Translate the expression into a word phrase - $q-2$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+3=19.7$ , if $x=22.7$

Write the algebraic expression in words. - $n-7$

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Exam 4: Basic Algebra: Solving Simple Equations

Solve the equation. - r−3=7r-3=7r−3=7

Translate the word phrase into an algebraic expression. - $147\$ 147$147 less the cost xxx

Identify the operation to perform to the equation to isolate the variable. - 118.5n=3.95118.5 n=3.95118.5n=3.95

Identify the operation to perform on each side of the equation to isolate the variable. - t+3=15t+3=15t+3=15

Translate the sentence to an equation then solve. -8 is equal to the quotient of rrr and 3.4 .

Identify the operation to perform to the equation to isolate the variable. - r3=9.5\frac{\mathrm{r}}{3}=9.53r​=9.5

Indicate whether the value of xxx shown is a solution to the given equation. - 2.0x=6,x=3102.0 x=6, x=\frac{3}{10}2.0x=6,x=103​

Translate the sentence to an equation. -n plus 7 equals 24 .

Solve the problem. -Write a word problem that corresponds to the following equation. z−5=7z-5=7z−5=7 .

Evaluate the expression. - 2x2 x2x , if x=6x=6x=6

Translate the sentence into an equation, then solve. -If 4.61 is added to jjj , the sum is 12.4 .

Translate the sentence to an equation. - mmm decreased by 4 equals 13.7 .

Indicate whether the value of xxx shown is a solution of the given equation. - x−3.2=8x-3.2=8x−3.2=8 , if x=4.8x=4.8x=4.8

Identify the operation to perform to the equation to isolate the variable. - n8=29\frac{\mathrm{n}}{8}=\frac{2}{9}8n​=92​

Solve. -Yesterday Jill ran 12 kilometers. That is 0.75 of the distance that she will run in a race next week. Write and solve an equation to determine the distance, ddd , that she will run in the race next week.

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

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

Translate the expression into a word phrase - q−2q-2q−2

Indicate whether the value of xxx shown is a solution of the given equation. - x+3=19.7x+3=19.7x+3=19.7 , if x=22.7x=22.7x=22.7

Write the algebraic expression in words. - n−7n-7n−7

Whole Numbers

Fractions

Decimals

Ratio and Proportion

Percents

Signed Numbers

Basic Statistics

More on Algebra

Measurement and Units

Basic Geometry

Filters

Solve the equation. - $r-3=7$

Translate the word phrase into an algebraic expression. - $\$ 147$ less the cost $x$

Identify the operation to perform to the equation to isolate the variable. - $118.5 n=3.95$

Identify the operation to perform on each side of the equation to isolate the variable. - $t+3=15$

Translate the sentence to an equation then solve. -8 is equal to the quotient of $r$ and 3.4 .

Identify the operation to perform to the equation to isolate the variable. - $\frac{\mathrm{r}}{3}=9.5$

Indicate whether the value of $x$ shown is a solution to the given equation. - $2.0 x=6, x=\frac{3}{10}$

Solve the problem. -Write a word problem that corresponds to the following equation. $z-5=7$ .

Evaluate the expression. - $2 x$ , if $x=6$

Translate the sentence into an equation, then solve. -If 4.61 is added to $j$ , the sum is 12.4 .

Translate the sentence to an equation. - $m$ decreased by 4 equals 13.7 .

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-3.2=8$ , if $x=4.8$

Identify the operation to perform to the equation to isolate the variable. - $\frac{\mathrm{n}}{8}=\frac{2}{9}$

Solve. -Yesterday Jill ran 12 kilometers. That is 0.75 of the distance that she will run in a race next week. Write and solve an equation to determine the distance, $d$ , that she will run in the race next week.

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.

Translate the expression into a word phrase - $q-2$

Indicate whether the value of $x$ shown is a solution of the given equation. - $x+3=19.7$ , if $x=22.7$

Write the algebraic expression in words. - $n-7$