Question 1

Translate the expression into a word phrase
-$\frac{7}{9} \mathrm{k}$

Accepted Answer

A)  $\frac{7}{9}$ increased by k 
B)  The product of $\frac{7}{9}$ and $\mathrm{k}$ 
C)  k more than $\frac{7}{9}$ 
D)  The quotient of $\frac{7}{9}$ and $\mathrm{k}$ 
A)  $\frac{7}{9}$ increased by k 
B)  The product of $\frac{7}{9}$ and $\mathrm{k}$ 
C)  k more than $\frac{7}{9}$ 
D)  The quotient of $\frac{7}{9}$ and $\mathrm{k}$

Question 2

Solve.
-The area of a rectangular garden is $75 \mathrm{ft}^{2}$ and its width is $5 \mathrm{ft}$. Write and solve an equation to find the length, 1 , of the garden.

Accepted Answer

A)  $1+5=75 ; 15 \mathrm{ft}$ 
B)  $1+5=75 ; 70 \mathrm{ft}$ 
C)  $51=75 ; 15 \mathrm{ft}$ 
D)  $51=75 ; 70 \mathrm{ft}$ 
A)  $1+5=75 ; 15 \mathrm{ft}$ 
B)  $1+5=75 ; 70 \mathrm{ft}$ 
C)  $51=75 ; 15 \mathrm{ft}$ 
D)  $51=75 ; 70 \mathrm{ft}$

Question 3

Solve the problem.
-Write a word problem that corresponds to the following equation. $n+2=8$.

Accepted Answer

A possible answer could be: I

Question 4

Translate the sentence to an equation.
-2 less than a number is equal to 9 .

Accepted Answer

A)  $x-2=9$ 
B)  $2-9=x$ 
C)  $2-x=9$ 
D)  $x-\frac{1}{2}=9$ 
A)  $x-2=9$ 
B)  $2-9=x$ 
C)  $2-x=9$ 
D)  $x-\frac{1}{2}=9$

Question 5

Translate the sentence into an equation, then solve.
-The sum of 8 and $x$ is the same as 19 .

Accepted Answer

A)  $8+x=19, x=11$ 
B)  $19+x=8, x=11$ 
C)  $8+x=19, x=-11$ 
D)  $x+8=19, x=27$ 
A)  $8+x=19, x=11$ 
B)  $19+x=8, x=11$ 
C)  $8+x=19, x=-11$ 
D)  $x+8=19, x=27$

Question 6

Solve the problem.
-It is your goal to have $\$ 4977$ in savings, and your opening balance is $\$ 1064$. How much more money do you need to reach your goal?

Accepted Answer

A)  $\$ 6041$ 
B)  $\$ 5000$ 
C)  $-\$ 3913$ 
D)  $\$ 3913$ 
A)  $\$ 6041$ 
B)  $\$ 5000$ 
C)  $-\$ 3913$ 
D)  $\$ 3913$

Question 7

Identify the operation to perform to the equation to isolate the variable.
-$7 \mathrm{c}=700$

Accepted Answer

A)  Multiply by 7 
B)  Subtract 7 
C)  Divide by 7 
D)  Add 7 
A)  Multiply by 7 
B)  Subtract 7 
C)  Divide by 7 
D)  Add 7

Question 8

Translate the sentence into an equation, then solve.
-The difference between $w$ and 3.1 yields 4.3.

Accepted Answer

A)  $3.1-\mathrm{w}=4.3, \mathrm{w}=7.4$ 
B)  $\mathrm{w}-3.1=4.3, \mathrm{w}=7.4$ 
C)  $\mathrm{w}-3.1=4.3, \mathrm{w}=1.2$ 
D)  $3.1-\mathrm{w}=4.3, \mathrm{w}=1.2$ 
A)  $3.1-\mathrm{w}=4.3, \mathrm{w}=7.4$ 
B)  $\mathrm{w}-3.1=4.3, \mathrm{w}=7.4$ 
C)  $\mathrm{w}-3.1=4.3, \mathrm{w}=1.2$ 
D)  $3.1-\mathrm{w}=4.3, \mathrm{w}=1.2$

Question 9

Complete the table.
-

Accepted Answer

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

Question 10

Solve the equation.
-$20.52=5.13 \mathrm{t}$

Accepted Answer

A)  $t=20.52$ 
B)  $t=4$ 
C)  $t=5.13$ 
D)  $t=15.39$ 
A)  $t=20.52$ 
B)  $t=4$ 
C)  $t=5.13$ 
D)  $t=15.39$

Question 11

Solve the equation.
-$\frac{3}{10} n=3$

Accepted Answer

A)  $\mathrm{n}=\frac{10}{9}$ 
B)  $n=10$ 
C)  $\mathrm{n}=\frac{9}{10}$ 
D)  $\mathrm{n}=\frac{1}{10}$ 
A)  $\mathrm{n}=\frac{10}{9}$ 
B)  $n=10$ 
C)  $\mathrm{n}=\frac{9}{10}$ 
D)  $\mathrm{n}=\frac{1}{10}$

Question 12

Solve.
-$168=6 y$

Accepted Answer

A)  $y=162$ 
B)  $y=28$ 
C)  $y=1008$ 
D)  $y=26$ 
A)  $y=162$ 
B)  $y=28$ 
C)  $y=1008$ 
D)  $y=26$

Question 13

Evaluate the expression.
-$11+x$, if $x=3.7$

Accepted Answer

A)  14.7 
B)  7.3 
C)  $\frac{11}{3.7}$ 
D)  40.7 
A)  14.7 
B)  7.3 
C)  $\frac{11}{3.7}$ 
D)  40.7

Question 14

Translate the sentence to an equation then solve.
-7 is equal to $\frac{5}{8}$ of $x$.

Accepted Answer

A)  $\frac{5}{8}=7 x, x=\frac{5}{56}$ 
B)  $7=\frac{5}{8} x, x=\frac{35}{8}$ 
C)  $7=\frac{5}{8} x, x=\frac{56}{5}$ 
D)  $\frac{5}{8}=7 x, x=\frac{56}{5}$ 
A)  $\frac{5}{8}=7 x, x=\frac{5}{56}$ 
B)  $7=\frac{5}{8} x, x=\frac{35}{8}$ 
C)  $7=\frac{5}{8} x, x=\frac{56}{5}$ 
D)  $\frac{5}{8}=7 x, x=\frac{56}{5}$

Question 15

Solve the equation.
-$x-6.4=14.1$

Accepted Answer

A)  $x=7.2$ 
B)  $x=20$ 
C)  $x=20.5$ 
D)  $x=7.7$ 
A)  $x=7.2$ 
B)  $x=20$ 
C)  $x=20.5$ 
D)  $x=7.7$

Question 16

Solve the equation.
-$\frac{\mathrm{n}}{2}=9.6$

Accepted Answer

A)  $n=19.2$ 
B)  $\mathrm{n}=\frac{5}{24}$ 
C)  $n=11.6$ 
D)  $\mathrm{n}=\frac{24}{5}$ 
A)  $n=19.2$ 
B)  $\mathrm{n}=\frac{5}{24}$ 
C)  $n=11.6$ 
D)  $\mathrm{n}=\frac{24}{5}$

Question 17

Solve the problem.
-You have $x$ dollars. After spending $\$ 5.75$ on lunch, you have $\$ 2.2$ left. Write an equation to describe the change in the amount of money.

Accepted Answer

A)  $x+5.75=2.2$ 
B)  $x-2.2=5.75$ 
C)  $5.75-x=2.2$ 
D)  $x-5.75=2.2$ 
A)  $x+5.75=2.2$ 
B)  $x-2.2=5.75$ 
C)  $5.75-x=2.2$ 
D)  $x-5.75=2.2$

Question 18

Solve.
-The local citizen's group sold raffle tickets and made $\$ 430$. This was 3 times the amount of money that the winner received. Write an equation that could be used to find the amount, w, received by the winner.

Accepted Answer

A)  $3 w=430$ 
B)  $\mathrm{w}=3 \cdot 430$ 
C)  $3+w=430$ 
D)  $\frac{W}{3}=430$ 
A)  $3 w=430$ 
B)  $\mathrm{w}=3 \cdot 430$ 
C)  $3+w=430$ 
D)  $\frac{W}{3}=430$

Question 19

Translate the sentence to an equation.
-The sum of $\frac{11}{2}$ and $d$ is 11 .

Accepted Answer

A)  $\frac{2}{11}+d=11$ 
B)  $\frac{11}{2}+d=11$ 
C)  $\frac{11}{2}+11=\mathrm{d}$ 
D)  $11+\mathrm{d}=\frac{11}{2}$ 
A)  $\frac{2}{11}+d=11$ 
B)  $\frac{11}{2}+d=11$ 
C)  $\frac{11}{2}+11=\mathrm{d}$ 
D)  $11+\mathrm{d}=\frac{11}{2}$

Question 20

Translate the word phrase into an algebraic expression.
-The sum of 61 and $x$

Accepted Answer

A)  $61-x$ 
B)  61 
C)  $61 x$ 
D)  $61+x$ 
A)  $61-x$ 
B)  61 
C)  $61 x$ 
D)  $61+x$

Translate the expression into a word phrase - $\frac{7}{9} \mathrm{k}$

Solve. -The area of a rectangular garden is $75 \mathrm{ft}^{2}$ and its width is $5 \mathrm{ft}$ . Write and solve an equation to find the length, 1 , of the garden.

Solve the problem. -Write a word problem that corresponds to the following equation. $n+2=8$ .

Translate the sentence to an equation. -2 less than a number is equal to 9 .

Translate the sentence into an equation, then solve. -The sum of 8 and $x$ is the same as 19 .

Solve the problem. -It is your goal to have $\$ 4977$ in savings, and your opening balance is $\$ 1064$ . How much more money do you need to reach your goal?

Identify the operation to perform to the equation to isolate the variable. - $7 \mathrm{c}=700$

Translate the sentence into an equation, then solve. -The difference between $w$ and 3.1 yields 4.3.

Complete the table. -

Solve the equation. - $20.52=5.13 \mathrm{t}$

Solve the equation. - $\frac{3}{10} n=3$

Solve. - $168=6 y$

Evaluate the expression. - $11+x$ , if $x=3.7$

Translate the sentence to an equation then solve. -7 is equal to $\frac{5}{8}$ of $x$ .

Solve the equation. - $x-6.4=14.1$

Solve the equation. - $\frac{\mathrm{n}}{2}=9.6$

Solve the problem. -You have $x$ dollars. After spending $\$ 5.75$ on lunch, you have $\$ 2.2$ left. Write an equation to describe the change in the amount of money.

Solve. -The local citizen's group sold raffle tickets and made $\$ 430$ . This was 3 times the amount of money that the winner received. Write an equation that could be used to find the amount, w, received by the winner.

Translate the sentence to an equation. -The sum of $\frac{11}{2}$ and $d$ is 11 .

Translate the word phrase into an algebraic expression. -The sum of 61 and $x$

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Exam 4: Basic Algebra: Solving Simple Equations

Translate the expression into a word phrase - 79k\frac{7}{9} \mathrm{k}97​k

Solve. -The area of a rectangular garden is 75ft275 \mathrm{ft}^{2}75ft2 and its width is 5ft5 \mathrm{ft}5ft . Write and solve an equation to find the length, 1 , of the garden.

Solve the problem. -Write a word problem that corresponds to the following equation. n+2=8n+2=8n+2=8 .

Translate the sentence to an equation. -2 less than a number is equal to 9 .

Translate the sentence into an equation, then solve. -The sum of 8 and xxx is the same as 19 .

Solve the problem. -It is your goal to have $4977\$ 4977$4977 in savings, and your opening balance is $1064\$ 1064$1064 . How much more money do you need to reach your goal?

Identify the operation to perform to the equation to isolate the variable. - 7c=7007 \mathrm{c}=7007c=700

Translate the sentence into an equation, then solve. -The difference between www and 3.1 yields 4.3.