Question 1

The bill for repairing a car was $\$ 330$ . The cost for parts was $\$ 155$ . The cost for labor was $\$ 25$ per hour. How many hours did the repair work take?

Accepted Answer

A)  $7$ hours 
B)  $14$ hours 
C)  $2$ $\text { hours }$ 
D)  $13$ hours 
E)  $9$ hours 
A)  $7$ hours 
B)  $14$ hours 
C)  $2$ $\text { hours }$ 
D)  $13$ hours 
E)  $9$ hours

Question 2

If a product is discounted by $\$ 233.9$ and is selling for $\$ 890.1$ , what is the discount rate? Round your answer to two decimal places.

Accepted Answer

A)  15.41% 
B)  26.28% 
C)  20.81% 
D)  35.64% 
E)  79.19% 
A)  15.41% 
B)  26.28% 
C)  20.81% 
D)  35.64% 
E)  79.19%

Question 3

Determine whether the equations $x + 8 = 13$ and $2 x + 24 = 26$ are equivalent.

Accepted Answer

A) not equivalent 
B) equivalent 
A) not equivalent 
B) equivalent

Question 4

The width of a rectangle is 16 meters. The perimeter of a rectangle must be at least 102 meters and not more than 128 meters. Find the interval for the length l .

Accepted Answer

A)  $35 \leq l \leq 48$ 
B)  $35 \leq l \leq 96$ 
C)  $19 \leq l \leq 48$ 
D)  $35 \leq l \leq 64$ 
E)  $32 < l < 50$ 
A)  $35 \leq l \leq 48$ 
B)  $35 \leq l \leq 96$ 
C)  $19 \leq l \leq 48$ 
D)  $35 \leq l \leq 64$ 
E)  $32 < l < 50$

Question 5

Determine whether the inequalities $- 4 ( x + 10 ) > 8$ and $x + 10 > - 2$ are equivalent.

Accepted Answer

A) not equivalent 
B) equivalent 
A) not equivalent 
B) equivalent

Question 6

Solve: $8 < 6 - 2 x \leq 14$

Accepted Answer

A)  $1 > x \geq - 4$ 
B)  $- 2 > x \geq - 8$ 
C)  $- 1 > x \geq - 4$ 
D)  $2 > x \geq - 4$ 
E)  $- 1 > x \geq - 8$ 
A)  $1 > x \geq - 4$ 
B)  $- 2 > x \geq - 8$ 
C)  $- 1 > x \geq - 4$ 
D)  $2 > x \geq - 4$ 
E)  $- 1 > x \geq - 8$

Question 7

You have $600 budgeted for a Spring Break trip. The hotel costs for the trip will be $150 . To stay within budget, all other costs must total no more than what amount?

Accepted Answer

A) $ 450 
B) $ 500 
C) $ 440 
D) $ 460 
E) $ 400 
A) $ 450 
B) $ 500 
C) $ 440 
D) $ 460 
E) $ 400

Question 8

If a product has a cost of $42.67 and a selling price of $63.33 , what is the markup rate? Round your answer to two decimal places.

Accepted Answer

A)  14.84% 
B)  48.42% 
C)  32.62% 
D)  20.65% 
E)  30.65% 
A)  14.84% 
B)  48.42% 
C)  32.62% 
D)  20.65% 
E)  30.65%

Question 9

A chemist wishes to mix a 30% acid solution with a 60% acid solution to obtain 60 quarts of a 39% acid solution. How many quarts of each solution should be mixed together?

Accepted Answer

A)  42 quarts of 30% solution 18 quarts of $60 \%$ solution 
B)  $36$ quarts of $30 \%$ solution $24$ quarts of $60 \%$ solution 
C)  $24$ quarts of $30 \%$ solution $36$ quarts of $60 \%$ solution 
D)  $30$ quarts of $30 \%$ solution $30$ quarts of $60 \%$ solution 
E)  $18$ quarts of $30 \%$ solution $42$ quarts of $60 \%$ solution 
A)  42 quarts of 30% solution 18 quarts of $60 \%$ solution 
B)  $36$ quarts of $30 \%$ solution $24$ quarts of $60 \%$ solution 
C)  $24$ quarts of $30 \%$ solution $36$ quarts of $60 \%$ solution 
D)  $30$ quarts of $30 \%$ solution $30$ quarts of $60 \%$ solution 
E)  $18$ quarts of $30 \%$ solution $42$ quarts of $60 \%$ solution

Question 10

Determine whether the equations $8 ( 10 - 5 t ) = 2$ and $80 - 40 t = 2$ are equivalent.

Accepted Answer

A) not equivalent 
B) equivalent 
A) not equivalent 
B) equivalent

Question 11

Solve the equation $\frac { x } { 6 } = 5$ .

Accepted Answer

A)  $x = \frac { 5 } { 6 }$ 
B)  x=11 
C)  $x = \frac { 6 } { 5 }$ 
D)  x=30 
E)  x=-1 
A)  $x = \frac { 5 } { 6 }$ 
B)  x=11 
C)  $x = \frac { 6 } { 5 }$ 
D)  x=30 
E)  x=-1

Question 12

A grocer wishes to mix two kinds of nuts costing $2.26 per pound and $3.93 per pound to make a 124 pounds of mixed nuts costing $2.36 per pound. To determine the number of pounds of the $2.26 per pound nuts in the mixture, solve for x in the equation $2.26 x + 3.93 ( 124 - x ) = 292.64$ . How many pounds of the $2.26 per pound nuts should be included in the mixture? Round to the nearest pound.

Accepted Answer

A)  $7$ pounds 
B)  $62$ pounds 
C)  5 pounds 
D)  $82$ pounds 
E)  $117$ pounds 
A)  $7$ pounds 
B)  $62$ pounds 
C)  5 pounds 
D)  $82$ pounds 
E)  $117$ pounds

Question 13

Solve the proportion $\frac { 3 } { 16 } = \frac { x } { 10 }$ .

Accepted Answer

A)  x=$\frac { 7 } { 100 }$ 
B)  x=$\frac { 7 } { 4 }$ 
C)  x=-$\frac { 3 } { 10 }$ 
D)  $x =$ $\frac { 15 } { 8 }$ 
E)  $x =$ $\frac { 3 } { 10 }$ 
A)  x=$\frac { 7 } { 100 }$ 
B)  x=$\frac { 7 } { 4 }$ 
C)  x=-$\frac { 3 } { 10 }$ 
D)  $x =$ $\frac { 15 } { 8 }$ 
E)  $x =$ $\frac { 3 } { 10 }$

Question 14

The perimeter of a rectangle is $180$ inches. The length of the rectangle is $\text { four }$ times its width. Find the area of the rectangle.

Accepted Answer

A)  $5,184$ square inches 
B)  $2,592$ square inches 
C)  $5,508$ square inches 
D)  $1,296$ square inches 
E)  $720$ square inches 
A)  $5,184$ square inches 
B)  $2,592$ square inches 
C)  $5,508$ square inches 
D)  $1,296$ square inches 
E)  $720$ square inches

Question 15

The sum of four consecutive odd integers is 216. Find the four integers.

Accepted Answer

A)  $54,53,55,57$ 
B)  $53,55,57,51$ 
C)  $50,53,55,57$ 
D)  $51,53,55,57$ 
E)  $52,53,55,57$ 
A)  $54,53,55,57$ 
B)  $53,55,57,51$ 
C)  $50,53,55,57$ 
D)  $51,53,55,57$ 
E)  $52,53,55,57$

Question 16

Determine if $w = 1$ is a solution to $| 6 - 2 w | = 2$ .

Accepted Answer

A)  $w = 1$ is a solution. 
B)  $w = 1$ is not a solution. 
A)  $w = 1$ is a solution. 
B)  $w = 1$ is not a solution.

Question 17

If a product has a cost of $738 and a markup rate of $\$ 32 \frac { 1 } { 3 } \%$ , what is the markup?

Accepted Answer

A)  $\$ 249.07$ 
B)  $\$ 238.62$ 
C)  $\$ 236.16$ 
D)  $\$ 263.18$ 
E)  $\$ 246.00$ 
A)  $\$ 249.07$ 
B)  $\$ 238.62$ 
C)  $\$ 236.16$ 
D)  $\$ 263.18$ 
E)  $\$ 246.00$

Question 18

If a product has a cost of $44.47 and a selling price of $62.53 , what is the markup?

Accepted Answer

A)  $18.06 
B)  $16.81 
C)  $14.56 
D)  $18.31 
E)  $15.96 
A)  $18.06 
B)  $16.81 
C)  $14.56 
D)  $18.31 
E)  $15.96

Question 19

The annual insurance premium for a policy holder was $837 . The policy holder must pay a 18% surcharge because of an accident. What is the new annual premium as a result of the accident?

Accepted Answer

A)  $\$ 990.66$ 
B)  $\$ 977.66$ 
C)  $\$ 855.00$ 
D)  $\$ 987.66$ 
E)  $\$ 991.66$ 
A)  $\$ 990.66$ 
B)  $\$ 977.66$ 
C)  $\$ 855.00$ 
D)  $\$ 987.66$ 
E)  $\$ 991.66$

Question 20

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure). What percent of the floor is covered by the rug? Round your answer to the nearest integer. 
 
$a = 10 , b = 12$

Accepted Answer

A) 46% 
B) 42% 
C) 10% 
D) 21% 
E) 58% 
A) 46% 
B) 42% 
C) 10% 
D) 21% 
E) 58%

The bill for repairing a car was $\$ 330$ . The cost for parts was $\$ 155$ . The cost for labor was $\$ 25$ per hour. How many hours did the repair work take?

If a product is discounted by $\$ 233.9$ and is selling for $\$ 890.1$ , what is the discount rate? Round your answer to two decimal places.

Determine whether the equations $x + 8 = 13$ and $2 x + 24 = 26$ are equivalent.

The width of a rectangle is 16 meters. The perimeter of a rectangle must be at least 102 meters and not more than 128 meters. Find the interval for the length l .

Determine whether the inequalities $- 4 ( x + 10 ) > 8$ and $x + 10 > - 2$ are equivalent.

Solve: $8 < 6 - 2 x \leq 14$

You have $600 budgeted for a Spring Break trip. The hotel costs for the trip will be $150 . To stay within budget, all other costs must total no more than what amount?

If a product has a cost of $42.67 and a selling price of $63.33 , what is the markup rate? Round your answer to two decimal places.

A chemist wishes to mix a 30% acid solution with a 60% acid solution to obtain 60 quarts of a 39% acid solution. How many quarts of each solution should be mixed together?

Determine whether the equations $8 ( 10 - 5 t ) = 2$ and $80 - 40 t = 2$ are equivalent.

Solve the equation $\frac { x } { 6 } = 5$ .

Solve the proportion $\frac { 3 } { 16 } = \frac { x } { 10 }$ .

The perimeter of a rectangle is $180$ inches. The length of the rectangle is $\text { four }$ times its width. Find the area of the rectangle.

The sum of four consecutive odd integers is 216. Find the four integers.

Determine if $w = 1$ is a solution to $| 6 - 2 w | = 2$ .

If a product has a cost of $738 and a markup rate of $\$ 32 \frac { 1 } { 3 } \%$ , what is the markup?

If a product has a cost of $44.47 and a selling price of $62.53 , what is the markup?

The annual insurance premium for a policy holder was $837 . The policy holder must pay a 18% surcharge because of an accident. What is the new annual premium as a result of the accident?

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure). What percent of the floor is covered by the rug? Round your answer to the nearest integer. $a = 10 , b = 12$

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear Equations and Inequalities

The bill for repairing a car was $330\$ 330$330 . The cost for parts was $155\$ 155$155 . The cost for labor was $25\$ 25$25 per hour. How many hours did the repair work take?

If a product is discounted by $233.9\$ 233.9$233.9 and is selling for $890.1\$ 890.1$890.1 , what is the discount rate? Round your answer to two decimal places.

Determine whether the equations x+8=13x + 8 = 13x+8=13 and 2x+24=262 x + 24 = 262x+24=26 are equivalent.

The width of a rectangle is 16 meters. The perimeter of a rectangle must be at least 102 meters and not more than 128 meters. Find the interval for the length l .

Determine whether the inequalities −4(x+10)>8- 4 ( x + 10 ) > 8−4(x+10)>8 and x+10>−2x + 10 > - 2x+10>−2 are equivalent.

Solve: 8<6−2x≤148 < 6 - 2 x \leq 148<6−2x≤14

You have $600 budgeted for a Spring Break trip. The hotel costs for the trip will be $150 . To stay within budget, all other costs must total no more than what amount?

If a product has a cost of $42.67 and a selling price of $63.33 , what is the markup rate? Round your answer to two decimal places.

A chemist wishes to mix a 30% acid solution with a 60% acid solution to obtain 60 quarts of a 39% acid solution. How many quarts of each solution should be mixed together?

Determine whether the equations 8(10−5t)=28 ( 10 - 5 t ) = 28(10−5t)=2 and 80−40t=280 - 40 t = 280−40t=2 are equivalent.

Solve the equation x6=5\frac { x } { 6 } = 56x​=5 .

Solve the proportion 316=x10\frac { 3 } { 16 } = \frac { x } { 10 }163​=10x​ .

The perimeter of a rectangle is 180180180 inches. The length of the rectangle is four \text { four } four times its width. Find the area of the rectangle.

The sum of four consecutive odd integers is 216. Find the four integers.

Determine if w=1w = 1w=1 is a solution to ∣6−2w∣=2| 6 - 2 w | = 2∣6−2w∣=2 .

If a product has a cost of $738 and a markup rate of $3213%\$ 32 \frac { 1 } { 3 } \%$3231​% , what is the markup?

If a product has a cost of $44.47 and a selling price of $62.53 , what is the markup?

The annual insurance premium for a policy holder was $837 . The policy holder must pay a 18% surcharge because of an accident. What is the new annual premium as a result of the accident?

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure). What percent of the floor is covered by the rug? Round your answer to the nearest integer. a=10,b=12a = 10 , b = 12a=10,b=12

Fundamentals of Algebra

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

The bill for repairing a car was $\$ 330$ . The cost for parts was $\$ 155$ . The cost for labor was $\$ 25$ per hour. How many hours did the repair work take?

If a product is discounted by $\$ 233.9$ and is selling for $\$ 890.1$ , what is the discount rate? Round your answer to two decimal places.

Determine whether the equations $x + 8 = 13$ and $2 x + 24 = 26$ are equivalent.

Determine whether the inequalities $- 4 ( x + 10 ) > 8$ and $x + 10 > - 2$ are equivalent.

Solve: $8 < 6 - 2 x \leq 14$

Determine whether the equations $8 ( 10 - 5 t ) = 2$ and $80 - 40 t = 2$ are equivalent.

Solve the equation $\frac { x } { 6 } = 5$ .

Solve the proportion $\frac { 3 } { 16 } = \frac { x } { 10 }$ .

The perimeter of a rectangle is $180$ inches. The length of the rectangle is $\text { four }$ times its width. Find the area of the rectangle.

Determine if $w = 1$ is a solution to $| 6 - 2 w | = 2$ .

If a product has a cost of $738 and a markup rate of $\$ 32 \frac { 1 } { 3 } \%$ , what is the markup?

The floor of a rectangular room that measures 10 feet by 12 feet is partially covered with a circular rug with a radius of 4 feet (see figure). What percent of the floor is covered by the rug? Round your answer to the nearest integer. $a = 10 , b = 12$