Question 1

Solve the problem.
-A chemical solution contains $3 \%$ salt. How much salt is in $3.5 \mathrm{~mL}$ of solution?

Accepted Answer

A)  $116.667 \mathrm{~mL}$ 
B)  $1.05 \mathrm{~mL}$ 
C)  $0.105 \mathrm{~mL}$ 
D)  $11.667 \mathrm{~mL}$ 
A)  $116.667 \mathrm{~mL}$ 
B)  $1.05 \mathrm{~mL}$ 
C)  $0.105 \mathrm{~mL}$ 
D)  $11.667 \mathrm{~mL}$

Question 2

Solve using the multiplication principle.
-$-48.3 \mathrm{~m}=-724.5$

Accepted Answer

A)  709.5 
B)  676.2 
C)  $\frac{1}{15}$ 
D)  15 
A)  709.5 
B)  676.2 
C)  $\frac{1}{15}$ 
D)  15

Question 3

Solve.
-You are traveling to your aunt's house that is 207 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Accepted Answer

A)  $34.5 \mathrm{mi}$ 
B)  $69 \mathrm{mi}$ 
C)  $103.5 \mathrm{mi}$ 
D)  $138 \mathrm{mi}$ 
A)  $34.5 \mathrm{mi}$ 
B)  $69 \mathrm{mi}$ 
C)  $103.5 \mathrm{mi}$ 
D)  $138 \mathrm{mi}$

Question 4

Solve the problem. Round to the nearest hundredth, if necessary.
-What is $35 \%$ of 1612 ?

Accepted Answer

A)  5642 
B)  56,420 
C)  564.2 
D)  56.42 
A)  5642 
B)  56,420 
C)  564.2 
D)  56.42

Question 5

Translate the sentence to an inequality.
-A number is greater than -1 .

Accepted Answer

A)  $x \leq-1$ 
B)  $x-1$ 
A)  $x \leq-1$ 
B)  $x-1$

Question 6

Solve the problem.
-Recently, the cost of 196 -oz jars of baby food was $\$ 11.78$. What was the cost of one jar?

Accepted Answer

A)  $\$ 1.86$ 
B)  $\$ 0.62$ 
C)  $\$ 0.31$ 
D)  $\$ 1.24$ 
A)  $\$ 1.86$ 
B)  $\$ 0.62$ 
C)  $\$ 0.31$ 
D)  $\$ 1.24$

Question 7

Solve the problem.
-A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 14 . Find the length of a side.

Accepted Answer

A)  9 
B)  7 
C)  1 
D)  2 
A)  9 
B)  7 
C)  1 
D)  2

Question 8

Determine whether the given number is a solution of the inequality.
-$x>2,-3.4$

Accepted Answer

A) True 
 B)False

Question 9

Solve.
-$\frac{1}{3} a-\frac{1}{3}=-4$

Accepted Answer

A)  11 
B)  13 
C)  -13 
D)  - 11 
A)  11 
B)  13 
C)  -13 
D)  - 11

Question 10

Solve using the addition principle. Graph and write set-builder notation for the answer.
-f $+4<-8$

Accepted Answer

A)  $\{\mathrm{f} \mid \mathrm{f} \geq-12\}$
  
B)  $\{$ f $\mid$ f $-12\}$
  
D)  $\{\mathrm{f} \mid \mathrm{f} \leq-12\}$
  
A)  $\{\mathrm{f} \mid \mathrm{f} \geq-12\}$
  
B)  $\{$ f $\mid$ f $-12\}$
  
D)  $\{\mathrm{f} \mid \mathrm{f} \leq-12\}$

Question 11

Solve the problem.
-Jennifer's annual salary was $\$ 24,000$ last year and increased $36 \%$ this year. Find Jennifer's current annual salary.

Accepted Answer

A)  $\$ 27,360$ 
B)  $\$ 41,280$ 
C)  $\$ 8640$ 
D)  $\$ 32,640$ 
A)  $\$ 27,360$ 
B)  $\$ 41,280$ 
C)  $\$ 8640$ 
D)  $\$ 32,640$

Question 12

Solve.
-$0.4(5 x+15)=2.5-(x+3)$

Accepted Answer

A)  $\frac{11}{30}$ 
B)  11 
C)  $-\frac{122}{21}$ 
D)  $-\frac{13}{6}$ 
A)  $\frac{11}{30}$ 
B)  11 
C)  $-\frac{122}{21}$ 
D)  $-\frac{13}{6}$

Question 13

Solve the equation using the addition principle.
-$7=z+1$

Accepted Answer

A)  8 
B)  -8 
C)  6 
D)  -6 
A)  8 
B)  -8 
C)  6 
D)  -6

Question 14

Solve.
-$9 n-2=70$

Accepted Answer

A)  8 
B)  67 
C)  63 
D)  9 
A)  8 
B)  67 
C)  63 
D)  9

Question 15

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 22 is 22 ?

Accepted Answer

A)  $200 \%$ 
B)  $100 \%$ 
C)  $1 \%$ 
D)  $0 \%$ 
A)  $200 \%$ 
B)  $100 \%$ 
C)  $1 \%$ 
D)  $0 \%$

Question 16

Solve the problem. Round to the nearest tenth of a percent.
-53.1 is what percent of 9 ?

Accepted Answer

A)  $590.0 \%$ 
B)  $5900.0 \%$ 
C)  $1.7 \%$ 
D)  $16.9 \%$ 
A)  $590.0 \%$ 
B)  $5900.0 \%$ 
C)  $1.7 \%$ 
D)  $16.9 \%$

Question 17

Solve. Clear decimals first.
-$13.23 t-105.84=7.56 t-60.48$

Accepted Answer

A)  -8 
B)  -24 
C)  24 
D)  8 
A)  -8 
B)  -24 
C)  24 
D)  8

Question 18

Solve.
-A 396 -foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is each piece of rope?

Accepted Answer

A)  First: $66 \mathrm{ft}$; second: $132 \mathrm{ft}$; third: $396 \mathrm{ft}$ 
B)  First: $44 \mathrm{ft}$; second: $88 \mathrm{ft}$; third: $264 \mathrm{ft}$ 
C)  First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $297 \mathrm{ft}$ 
D)  First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $248 \mathrm{ft}$ 
A)  First: $66 \mathrm{ft}$; second: $132 \mathrm{ft}$; third: $396 \mathrm{ft}$ 
B)  First: $44 \mathrm{ft}$; second: $88 \mathrm{ft}$; third: $264 \mathrm{ft}$ 
C)  First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $297 \mathrm{ft}$ 
D)  First: $50 \mathrm{ft}$; second: $99 \mathrm{ft}$; third: $248 \mathrm{ft}$

Question 19

Solve the problem.
-The equation y=0.005x+0.40can be used to determine the approximate profit, y in dollars, ofproducing x items. How many items must be produced so the profit will be at least $3321?

Accepted Answer

A)  $x \geq 664,280$ 
B)    
C)  $\mathrm{x} \leq 664,120$ 
D)  $x \geq 664,120$ 
A)  $x \geq 664,280$ 
B)    
C)  $\mathrm{x} \leq 664,120$ 
D)  $x \geq 664,120$

Question 20

Solve using the multiplication principle.
-$6.7 t=-46.9$

Accepted Answer

A)  -40.2 
B)  $-\frac{1}{7}$ 
C)  -39.9 
D)  -7 
A)  -40.2 
B)  $-\frac{1}{7}$ 
C)  -39.9 
D)  -7

Solve the problem. -A chemical solution contains $3 \%$ salt. How much salt is in $3.5 \mathrm{~mL}$ of solution?

Solve using the multiplication principle. - $-48.3 \mathrm{~m}=-724.5$

Solve. -You are traveling to your aunt's house that is 207 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled?

Solve the problem. Round to the nearest hundredth, if necessary. -What is $35 \%$ of 1612 ?

Translate the sentence to an inequality. -A number is greater than -1 .

Solve the problem. -Recently, the cost of 196 -oz jars of baby food was $\$ 11.78$ . What was the cost of one jar?

Solve the problem. -A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 14 . Find the length of a side.

Determine whether the given number is a solution of the inequality. - $x>2,-3.4$

Solve. - $\frac{1}{3} a-\frac{1}{3}=-4$

Solve using the addition principle. Graph and write set-builder notation for the answer. -f $+4<-8$

Solve the problem. -Jennifer's annual salary was $\$ 24,000$ last year and increased $36 \%$ this year. Find Jennifer's current annual salary.

Solve. - $0.4(5 x+15)=2.5-(x+3)$

Solve the equation using the addition principle. - $7=z+1$

Solve. - $9 n-2=70$

Solve the problem. Round to the nearest tenth of a percent. -What percent of 22 is 22 ?

Solve the problem. Round to the nearest tenth of a percent. -53.1 is what percent of 9 ?

Solve. Clear decimals first. - $13.23 t-105.84=7.56 t-60.48$

Solve. -A 396 -foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is each piece of rope?

Solve the problem. -The equation y=0.005x+0.40can be used to determine the approximate profit, y in dollars, ofproducing x items. How many items must be produced so the profit will be at least $3321?

Solve using the multiplication principle. - $6.7 t=-46.9$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 8: Solving Equations and Inequalities

Solve the problem. -A chemical solution contains 3%3 \%3% salt. How much salt is in 3.5 mL3.5 \mathrm{~mL}3.5 mL of solution?

Solve using the multiplication principle. - −48.3 m=−724.5-48.3 \mathrm{~m}=-724.5−48.3 m=−724.5