Question 1

Translate the sentence to an equation.
-The quotient of a and 4 is 5 .

Accepted Answer

A)  $\frac{\mathrm{a}}{5}=4$ 
B)  $\frac{a}{4}=5$ 
C)  $\frac{4}{a}=5$ 
D)  $\frac{5}{4}=a$

Question 2

Complete the table.
-

Accepted Answer

A)   
B)   
C) 
 
D)

Question 3

Solve the equation.
-$x+\frac{3}{2}=12$

Accepted Answer

A)  $x=\frac{21}{2}$ 
B)  $x=9$ 
C)  $x=\frac{27}{2}$ 
D)  $x=\frac{9}{2}$

Question 4

Solve the equation.
-$y+4.48=8.6$

Accepted Answer

A)  $y=13.08$ 
B)  $y=0$ 
C)  $\mathrm{y}=4.12$ 
D)  $y=5.12$

Question 5

Solve the problem.
-You have $x$ dollars. You and a friend split a pizza, and your share is $\$ 6.76$. You have $\$ 3.44$ left. With how much money did you start?

Accepted Answer

A)  $\$ 10.20$ 
B)  $\$ 6.76$ 
C)  $\$ 3.32$ 
D)  $\$ 3.44$

Question 6

Solve the problem.
-Write a word problem that corresponds to the following equation. $\frac{x}{6}=8$.

Accepted Answer

The answer of Solve the problem.
-Write a word problem that...

Question 7

Translate the word phrase to an algebraic expression.
-The quotient of $n$ and 6

Accepted Answer

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

Question 8

Indicate whether the value of $x$ shown is a solution of the given equation.
-$x-4.6=2.4$, if $x=7$

Accepted Answer

A) True 
 B)False

Question 9

Translate the sentence into an equation, then solve.
-5 less than $r$ equals 7 .

Accepted Answer

A)  $r-7=5, r=12$ 
B)  $r-5=7, r=2$ 
C)  $r-5=7, r=12$ 
D)  $5-r=7, r=12$

Question 10

Solve the equation.
-$t+8 \frac{1}{6}=20$

Accepted Answer

A)  $t=12 \frac{5}{6}$ 
B)  $t=12 \frac{1}{6}$ 
C)  $t=11 \frac{5}{6}$ 
D)  $t=28 \frac{1}{6}$

Question 11

Translate the expression into a word phrase
-$\frac{x}{4.6}$

Accepted Answer

A)  $x$ decreased by 4.6 
B)  The quotient of 4.6 and $x$ 
C)  The quotient of $x$ and 4.6 
D)  $x$ times 4.6

Question 12

Translate the word phrase into an algebraic expression.
-The difference between $x$ and 4.6

Accepted Answer

A)  $x+4.6$ 
B)  4.6 
C)  $x-4.6$ 
D)  $4.6 x$

Question 13

Translate the sentence into an equation, then solve.
-A number $n$ minus 5 is 6 .

Accepted Answer

A)  $n-5=6, n=1$ 
B)  $5-\mathrm{n}=6, \mathrm{n}=11$ 
C)  $n-6=5, n=11$ 
D)  $n-5=6, n=11$

Question 14

Solve the equation.
-$\frac{q}{7}=9$

Accepted Answer

A)  $q=\frac{7}{9}$ 
B)  $q=16$ 
C)  $q=2$ 
D)  $q=63$

Question 15

Translate the sentence into an equation, then solve.
-A number $x$ increased by $\frac{1}{3}$ is equal to 7 .

Accepted Answer

A)  $x+\frac{1}{3}=7, x=6 \frac{2}{3}$ 
B)  $x+\frac{1}{3}=7, x=7 \frac{1}{3}$ 
C)  $x+7=\frac{1}{3}, x=-6 \frac{2}{3}$ 
D)  $\frac{1}{3}+x=7, x=2$

Question 16

Translate the word phrase into an algebraic expression.
-His salary $x$ increased by $\$ 250$

Accepted Answer

A)  250 
B)  $x+250$ 
C)  $250 x$ 
D)  $x-250$

Question 17

Evaluate the expression.
-$x \div 2$, if $x=\frac{3}{2}$

Accepted Answer

A)  $\frac{3}{4}$ 
B)  $\frac{1}{12}$ 
C)  $\frac{4}{3}$ 
D)  3

Question 18

Translate the sentence to an equation then solve.
-27.88 is the same as the product of 6.97 and $t$.

Accepted Answer

A)  $6.97=27.88 \mathrm{t}, \mathrm{t}=4$ 
B)  $27.88=6.97 \mathrm{t}, \mathrm{t}=4$ 
C)  $27.88 \mathrm{t}=6.97, \mathrm{t}=\frac{1}{4}$ 
D)  $27.88=6.97 \mathrm{t}, \mathrm{t}=6.97$

Question 19

Translate the sentence to an equation.
-5 increased by $z$ yields 8 .

Accepted Answer

A)  $5+z=5$ 
B)  $5+z=8$ 
C)  $5+8=\mathrm{z}$ 
D)  $8+z=5$

Question 20

Solve.
-$\mathrm{p}-13=13$

Accepted Answer

A)  $p=0$ 
B)  $p=169$ 
C)  $p=13$ 
D)  $p=26$

Exam 4: Basic Algebra: Solving Simple Equations

Translate the sentence to an equation. -The quotient of a and 4 is 5 .

Complete the table. -

Solve the equation. - $x+\frac{3}{2}=12$

Solve the equation. - $y+4.48=8.6$

Solve the problem. -You have $x$ dollars. You and a friend split a pizza, and your share is $\$ 6.76$ . You have $\$ 3.44$ left. With how much money did you start?

Solve the problem. -Write a word problem that corresponds to the following equation. $\frac{x}{6}=8$ .

Translate the word phrase to an algebraic expression. -The quotient of $n$ and 6

Indicate whether the value of $x$ shown is a solution of the given equation. - $x-4.6=2.4$ , if $x=7$

Translate the sentence into an equation, then solve. -5 less than $r$ equals 7 .

Solve the equation. - $t+8 \frac{1}{6}=20$

Translate the expression into a word phrase - $\frac{x}{4.6}$

Translate the word phrase into an algebraic expression. -The difference between $x$ and 4.6

Translate the sentence into an equation, then solve. -A number $n$ minus 5 is 6 .

Solve the equation. - $\frac{q}{7}=9$

Translate the sentence into an equation, then solve. -A number $x$ increased by $\frac{1}{3}$ is equal to 7 .

Translate the word phrase into an algebraic expression. -His salary $x$ increased by $\$ 250$

Evaluate the expression. - $x \div 2$ , if $x=\frac{3}{2}$

Translate the sentence to an equation then solve. -27.88 is the same as the product of 6.97 and $t$ .

Translate the sentence to an equation. -5 increased by $z$ yields 8 .

Solve. - $\mathrm{p}-13=13$

Exam 4: Basic Algebra: Solving Simple Equations

Translate the sentence to an equation. -The quotient of a and 4 is 5 .

Complete the table. -

Solve the equation. - x+32=12x+\frac{3}{2}=12x+23​=12

Solve the equation. - y+4.48=8.6y+4.48=8.6y+4.48=8.6

Solve the problem. -You have xxx dollars. You and a friend split a pizza, and your share is $6.76\$ 6.76$6.76 . You have $3.44\$ 3.44$3.44 left. With how much money did you start?

Solve the problem. -Write a word problem that corresponds to the following equation. x6=8\frac{x}{6}=86x​=8 .

Translate the word phrase to an algebraic expression. -The quotient of nnn and 6

Indicate whether the value of xxx shown is a solution of the given equation. - x−4.6=2.4x-4.6=2.4x−4.6=2.4 , if x=7x=7x=7

Translate the sentence into an equation, then solve. -5 less than rrr equals 7 .

Solve the equation. - t+816=20t+8 \frac{1}{6}=20t+861​=20

Translate the expression into a word phrase - x4.6\frac{x}{4.6}4.6x​

Translate the word phrase into an algebraic expression. -The difference between xxx and 4.6

Translate the sentence into an equation, then solve. -A number nnn minus 5 is 6 .

Solve the equation. - q7=9\frac{q}{7}=97q​=9

Translate the sentence into an equation, then solve. -A number xxx increased by 13\frac{1}{3}31​ is equal to 7 .

Translate the word phrase into an algebraic expression. -His salary xxx increased by $250\$ 250$250

Evaluate the expression. - x÷2x \div 2x÷2 , if x=32x=\frac{3}{2}x=23​

Translate the sentence to an equation then solve. -27.88 is the same as the product of 6.97 and ttt .

Translate the sentence to an equation. -5 increased by zzz yields 8 .

Solve. - p−13=13\mathrm{p}-13=13p−13=13