Question 1

For the following problem, solve the inequality. $10 x - 12 - 7 x > 21$

Accepted Answer

A)  $( 12 , \infty )$ 
B)  $( 11 , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - 11 , \infty )$ 
E) none of these 
A)  $( 12 , \infty )$ 
B)  $( 11 , \infty )$ 
C)  $( 10 , \infty )$ 
D)  $( - 11 , \infty )$ 
E) none of these

Question 2

If a woman making $30,000 a year receives a cost-of-living increase of 2.6%, how much is her raise? $__________

Accepted Answer

The answer of If a woman making $30,000 a year...

Question 3

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.

Accepted Answer

A) 9 feet 
B) 8 feet 
C) 6 feet 
D) 5 feet 
A) 9 feet 
B) 8 feet 
C) 6 feet 
D) 5 feet

Question 4

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?

Accepted Answer

A)  $37.9 ^ { \circ } \mathrm { C }$ 
B)  $36.9 ^ { \circ } \mathrm { C }$ 
C)  $37.4 ^ { \circ } \mathrm { C }$ 
D)  $38.4 ^ { \circ } \mathrm { C }$ 
E)  $38.9 ^ { \circ } \mathrm { C }$ 
A)  $37.9 ^ { \circ } \mathrm { C }$ 
B)  $36.9 ^ { \circ } \mathrm { C }$ 
C)  $37.4 ^ { \circ } \mathrm { C }$ 
D)  $38.4 ^ { \circ } \mathrm { C }$ 
E)  $38.9 ^ { \circ } \mathrm { C }$

Question 5

Solve the inequality. Use interval notation to describe the solution. $4 < - 2 x < 18$

Accepted Answer

A)  $( - 9,2 )$ 
B)  $( - 9 , - 2 )$ 
C)  $( 2,9 )$ 
D)  $[ 2,9 ]$ 
E)  $( - 2,9 )$ 
A)  $( - 9,2 )$ 
B)  $( - 9 , - 2 )$ 
C)  $( 2,9 )$ 
D)  $[ 2,9 ]$ 
E)  $( - 2,9 )$

Question 6

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Accepted Answer

A)  $117 ^ { \circ } \mathrm { F }$ 
B)  $122 ^ { \circ } \mathrm { F }$ 
C)  $113 ^ { \circ } \mathrm { F }$ 
D)  $482 ^ { \circ } \mathrm { F }$ 
E)  $90 ^ { \circ } \mathrm { F }$ 
A)  $117 ^ { \circ } \mathrm { F }$ 
B)  $122 ^ { \circ } \mathrm { F }$ 
C)  $113 ^ { \circ } \mathrm { F }$ 
D)  $482 ^ { \circ } \mathrm { F }$ 
E)  $90 ^ { \circ } \mathrm { F }$

Question 7

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .

Accepted Answer

A)  $x = \frac { B + t } { 2 c }$ 
B)  $x = \frac { c } { 2 ( B + t ) }$ 
C)  $x = \frac { 2 ( B + t ) } { c }$ 
D)  $x = \frac { 2 c } { B + t }$ 
E)  $\chi = \frac { c } { 2 B + 2 t }$ 
A)  $x = \frac { B + t } { 2 c }$ 
B)  $x = \frac { c } { 2 ( B + t ) }$ 
C)  $x = \frac { 2 ( B + t ) } { c }$ 
D)  $x = \frac { 2 c } { B + t }$ 
E)  $\chi = \frac { c } { 2 B + 2 t }$

Question 8

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .

Accepted Answer

A)  $r = \frac { 6 \mathrm {~V} } { b } - 1$ 
B)  $r = \frac { V + 1 } { 6 b }$ 
C)  $= \frac { V } { 6 b } - 1$ 
D)  $r = \frac { 6 \mathrm {~V} } { b } + 1$ 
E)  $r = \frac { V } { 6 b } + 1$ 
A)  $r = \frac { 6 \mathrm {~V} } { b } - 1$ 
B)  $r = \frac { V + 1 } { 6 b }$ 
C)  $= \frac { V } { 6 b } - 1$ 
D)  $r = \frac { 6 \mathrm {~V} } { b } + 1$ 
E)  $r = \frac { V } { 6 b } + 1$

Question 9

Tell whether the number is a solution of the equation. $$\frac { 2 + x } { 8 } - x = \frac { 1 } { 4 } ; x = 0$$

Accepted Answer

A) non-quantified solution 
B) unequal solution 
C) not a solution 
D) solution 
E) none of these 
A) non-quantified solution 
B) unequal solution 
C) not a solution 
D) solution 
E) none of these

Question 10

Solve the equation. $$\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }$$

Accepted Answer

A) y = -5 
B) y = -6 
C) y = -29 
D) y = -32 
E) y = -30 
A) y = -5 
B) y = -6 
C) y = -29 
D) y = -32 
E) y = -30

Question 11

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.

Accepted Answer

A)  $65.5 ^ { \circ }$ 
B)  $74 ^ { \circ }$ 
C)  $79.5 ^ { \circ }$ 
D)  $71 ^ { \circ }$ 
E)  $68 ^ { \circ }$ 
A)  $65.5 ^ { \circ }$ 
B)  $74 ^ { \circ }$ 
C)  $79.5 ^ { \circ }$ 
D)  $71 ^ { \circ }$ 
E)  $68 ^ { \circ }$

Question 12

Match between columns
                        Premises: 5( y - 4)- y = 4( y - 5)

Accepted Answer

The Answer of identity equation and impossible equation is...

Question 13

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot.   a = 455, b = 755 __________ ft $3$

Accepted Answer

The answer of The Great Pyramid at Giza in northern...

Question 14

The cost to repair a car after a collision was $2,400. The automobile insurance policy paid the entire bill except for a $120 deductible, which the driver paid. What percent of the cost did he pay? __________ %

Accepted Answer

The answer of The cost to repair a car after...

Question 15

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

Accepted Answer

A) Approximately 10 hr 
B) Approximately 8 hr 
C) Approximately 12 hr 
D) Approximately 15 hr 
E) Approximately 7 hr 
A) Approximately 10 hr 
B) Approximately 8 hr 
C) Approximately 12 hr 
D) Approximately 15 hr 
E) Approximately 7 hr

Question 16

Use the division or the multiplication property of equality to solve the equation. $\frac { 12 } { 3 } = 6 x$

Accepted Answer

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

Question 17

To hold the temperature of a room between $6 ^ { \circ } \mathrm { C }$ and $30 ^ { \circ } \mathrm { C }$ what Fahrenheit temperatures must be maintained?

Accepted Answer

A)  $41.7 ^ { \circ } < F < 84.9 ^ { \circ }$ 
B)  $40.6 ^ { \circ } < F < 83.8 ^ { \circ }$ 
C)  $42.8 ^ { \circ } < F < 82.7 ^ { \circ }$ 
D)  $39.5 ^ { \circ } < F < 82.7 ^ { \circ }$ 
E)  $42.8 ^ { \circ } < F < 86 ^ { \circ }$ 
A)  $41.7 ^ { \circ } < F < 84.9 ^ { \circ }$ 
B)  $40.6 ^ { \circ } < F < 83.8 ^ { \circ }$ 
C)  $42.8 ^ { \circ } < F < 82.7 ^ { \circ }$ 
D)  $39.5 ^ { \circ } < F < 82.7 ^ { \circ }$ 
E)  $42.8 ^ { \circ } < F < 86 ^ { \circ }$

Question 18

Solve the problem by setting up and solving an appropriate inequality. Britney bowled 160 and 150 in her first two games. What must she bowl in the third game to have an average of at least 170 for the three games?

Accepted Answer

A)  $x \geq 220$ 
B)  $x \geq 200$ 
C)  $x \leq 200$ 
D)  $x > 200$ 
E)  $x > 220$ 
A)  $x \geq 220$ 
B)  $x \geq 200$ 
C)  $x \leq 200$ 
D)  $x > 200$ 
E)  $x > 220$

Question 19

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Accepted Answer

A) 90 lb 
B) 60 lb 
C) 80 lb 
D) 105 lb 
E) 70 lb 
A) 90 lb 
B) 60 lb 
C) 80 lb 
D) 105 lb 
E) 70 lb

Question 20

Use a property of equality to solve the equation. Then check the result. $$4 = m - 21$$ m = __________

Accepted Answer

The answer of Use a property of equality to solve...

For the following problem, solve the inequality. $10 x - 12 - 7 x > 21$

If a woman making $30,000 a year receives a cost-of-living increase of 2.6%, how much is her raise? $__________

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?

Solve the inequality. Use interval notation to describe the solution. $4 < - 2 x < 18$

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .

Tell whether the number is a solution of the equation. $\frac { 2 + x } { 8 } - x = \frac { 1 } { 4 } ; x = 0$

Solve the equation. $\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }$

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft $3$

The cost to repair a car after a collision was $2,400. The automobile insurance policy paid the entire bill except for a $120 deductible, which the driver paid. What percent of the cost did he pay? __________ %

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

Use the division or the multiplication property of equality to solve the equation. $\frac { 12 } { 3 } = 6 x$

To hold the temperature of a room between $6 ^ { \circ } \mathrm { C }$ and $30 ^ { \circ } \mathrm { C }$ what Fahrenheit temperatures must be maintained?

Solve the problem by setting up and solving an appropriate inequality. Britney bowled 160 and 150 in her first two games. What must she bowl in the third game to have an average of at least 170 for the three games?

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Use a property of equality to solve the equation. Then check the result. $4 = m - 21$ m = __________

An Introduction to Algebra

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

Exam 2: Equations, Inequalities, and Problem Solving

For the following problem, solve the inequality. 10x−12−7x>2110 x - 12 - 7 x > 2110x−12−7x>21

If a woman making $30,000 a year receives a cost-of-living increase of 2.6%, how much is her raise? $__________

In an isosceles triangle, two sides are four times the length of the third side. Find the length of the SHORTEST side if the perimeter is 54 feet.

A person has a temperature of 102∘F102 ^ { \circ } \mathrm { F }102∘F . What is the person's temperature, to the nearest tenth, on the Celsius scale?

Solve the inequality. Use interval notation to describe the solution. 4<−2x<184 < - 2 x < 184<−2x<18

Convert 50∘C50 ^ { \circ } \mathrm { C }50∘C to degrees Fahrenheit.

Solve the formula c=12(B+t)xc = \frac { 1 } { 2 } ( B + t ) xc=21​(B+t)x for the variable xxx .

Solve the formula V=6(r−1)bV = 6 ( r - 1 ) bV=6(r−1)b for the variable rrr .

Tell whether the number is a solution of the equation. 2+x8−x=14;x=0\frac { 2 + x } { 8 } - x = \frac { 1 } { 4 } ; x = 082+x​−x=41​;x=0

Solve the equation. y5+y−1026=3y+63\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }5y​+6y−102​=33y+6​

If one of two supplementary angles is 38∘38 ^ { \circ }38∘ larger than the other, find the measure of the smaller angle.

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft 333

The cost to repair a car after a collision was $2,400. The automobile insurance policy paid the entire bill except for a $120 deductible, which the driver paid. What percent of the cost did he pay? __________ %

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour.

Use the division or the multiplication property of equality to solve the equation. 123=6x\frac { 12 } { 3 } = 6 x312​=6x

To hold the temperature of a room between 6∘C6 ^ { \circ } \mathrm { C }6∘C and 30∘C30 ^ { \circ } \mathrm { C }30∘C what Fahrenheit temperatures must be maintained?

Solve the problem by setting up and solving an appropriate inequality. Britney bowled 160 and 150 in her first two games. What must she bowl in the third game to have an average of at least 170 for the three games?

A garden store sells Kentucky bluegrass seed for $6 per pound and ryegrass seed for $3 per pound. How much rye must be mixed with 180 pounds of bluegrass to obtain a blend that will sell for $5 per pound?

Use a property of equality to solve the equation. Then check the result. 4=m−214 = m - 214=m−21 m = __________

An Introduction to Algebra

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Quadratic Equations

Filters

For the following problem, solve the inequality. $10 x - 12 - 7 x > 21$

A person has a temperature of $102 ^ { \circ } \mathrm { F }$ . What is the person's temperature, to the nearest tenth, on the Celsius scale?

Solve the inequality. Use interval notation to describe the solution. $4 < - 2 x < 18$

Convert $50 ^ { \circ } \mathrm { C }$ to degrees Fahrenheit.

Solve the formula $c = \frac { 1 } { 2 } ( B + t ) x$ for the variable $x$ .

Solve the formula $V = 6 ( r - 1 ) b$ for the variable $r$ .

Tell whether the number is a solution of the equation. $\frac { 2 + x } { 8 } - x = \frac { 1 } { 4 } ; x = 0$

Solve the equation. $\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }$

If one of two supplementary angles is $38 ^ { \circ }$ larger than the other, find the measure of the smaller angle.

The Great Pyramid at Giza in northern Egypt is one of the most famous works of architecture in the world. Use information in the illustration to find the volume to the nearest cubic foot. a = 455, b = 755 __________ ft $3$

Use the division or the multiplication property of equality to solve the equation. $\frac { 12 } { 3 } = 6 x$

To hold the temperature of a room between $6 ^ { \circ } \mathrm { C }$ and $30 ^ { \circ } \mathrm { C }$ what Fahrenheit temperatures must be maintained?

Use a property of equality to solve the equation. Then check the result. $4 = m - 21$ m = __________