Question 1

$$\text { Solve: } - 7 + x = - 6$$

Accepted Answer

A)  {1} 
B)  {13} 
C)  {-1} 
D)  {-13} 
A)  {1} 
B)  {13} 
C)  {-1} 
D)  {-13} A

Question 2

Write the ratio as a fraction and reduce to lowest terms. 3 to 7

Accepted Answer

$$\frac { 3 } { 7 }$$

Question 3

$$\text { Solve: } \frac { x } { 2 } - \frac { 1 } { 5 } = \frac { 4 x } { 3 } + \frac { 1 } { 2 }$$

Accepted Answer

$$\left\{ - \frac { 21 } { 25 } \right\}$$

Question 4

The difference of two numbers is 1. The sum of the numbers is 39. Find the numbers.

Accepted Answer

The answer of The difference of two numbers is 1....

Question 5

Steve earned scores of 84 and 75 on his first two exams. What will his average grade be if he gets a 78 on his third exam?

Accepted Answer

A)  84 
B)  78 
C)  79 
D)  75 
A)  84 
B)  78 
C)  79 
D)  75

Question 6

$$\text { Evaluate } 5 x + \frac { 2 y } { 3 } \text { when } x = 2 \text { and } y = - 1 \text {. }$$

Accepted Answer

The answer of \[\text { Evaluate } 5 x +...

Question 7

Write the phrase in symbols: Eight less than three times a number. A) $3 ( 8 - x )$
B) $3 x - 8$
C) $3 ( x - 8 )$
D) $8 - 3 x$

Accepted Answer

The answer of Write the phrase in symbols: Eight less...

Question 8

Solve by using the quadratic formula. $3 x ^ { 2 } - 11 x - 4 = 0$
A) $\left\{ - \frac { 1 } { 3 } , 4 \right\}$

B) $\left\{ - \frac { 1 } { 4 } , 3 \right\}$

C) $\left\{ \frac { 1 } { 4 } , - 4 \right\}$

D) $\left\{ \frac { 1 } { 3 } , - 4 \right\}$

Accepted Answer

The answer of Solve by using the quadratic formula. \(3...

Question 9

Write the ratio as a fraction and reduce to lowest terms. 4 feet to 20 inches A) $\frac { 12 } { 5 }$

B) $\frac { 5 } { 1 }$

C) $\frac { 1 } { 5 }$

D) $\frac { 5 } { 12 }$

Accepted Answer

The answer of Write the ratio as a fraction and...

Question 10

Which two terms in the expression are like terms?
$$7 z + 7 z ^ { 2 } - 5 z + 5$$
A) $7 z$ and $- 5 z$
B) there are no like terms
C) $- 5 z$ and 5
D) $7 z$ and $7 z ^ { 2 }$

Accepted Answer

The answer of Which two terms in the expression are...

Question 11

A 3-foot pole casts a shadow of 8 feet. How tall is a tree with a shadow of 19 feet?

Accepted Answer

The answer of A 3-foot pole casts a shadow of...

Question 12

How long will it take an object to hit the ground if it is dropped from a height of 1024 feet? (Use $d = r t + 16 t ^ { 2 }$.) Assume the object initially is held still.

Accepted Answer

A)  8 sec 
B)  4 sec 
C)  16 sec 
D)  32 sec 
A)  8 sec 
B)  4 sec 
C)  16 sec 
D)  32 sec

Question 13

A couple has $20,000 to use toward the purchase their first home. If they put down a 20% down payment and pay $5,000 in closing costs, what is the maximum home price they can afford?

Accepted Answer

The answer of A couple has $20,000 to use toward...

Question 14

$$\text { Evaluate } 5 m ^ { 2 } - 3 m + 1 \text { when } m = - 2 \text {. }$$

Accepted Answer

A)  27 
B)  15 
C)  -25 
D)  -13 
A)  27 
B)  15 
C)  -25 
D)  -13

Question 15

Solve the inequality and graph the solution set.
$- 5 \leq x - 1 < 7$

Accepted Answer

The answer of Solve the inequality and graph the solution...

Question 16

Simplify: $- 6 ( 3 x + 7 )$
A) $- 18 x - 42$
в) $- 60 x$
C) $18 x - 42$
D) $- 18 x + 7$

Accepted Answer

The answer of Simplify: \(- 6 ( 3 x +...

Question 17

Show the solutions using a graph: $- 1 < x \leq 5$
A)

B)

C)

D)

Accepted Answer

The answer of Show the solutions using a graph: \(-...

Question 18

Simplify: -2(3b + 1) + 10b - 4

Accepted Answer

A)  4b - 3 
B)  4b - 2 
C)  16b - 2 
D)  4b - 6 
A)  4b - 3 
B)  4b - 2 
C)  16b - 2 
D)  4b - 6

Question 19

Show solution using a graph.
$$- 3 < x < - 1$$
A)

B)

C)

D)

Accepted Answer

The answer of Show solution using a graph.
\[- 3 <...

Question 20

Solve the inequality and graph the solution set.
$$0 < 4 ( 3 - 2 x ) < 16$$

Accepted Answer

The answer of Solve the inequality and graph the solution...

$\text { Solve: } - 7 + x = - 6$

Write the ratio as a fraction and reduce to lowest terms. 3 to 7

$\text { Solve: } \frac { x } { 2 } - \frac { 1 } { 5 } = \frac { 4 x } { 3 } + \frac { 1 } { 2 }$

The difference of two numbers is 1. The sum of the numbers is 39. Find the numbers.

Steve earned scores of 84 and 75 on his first two exams. What will his average grade be if he gets a 78 on his third exam?

$\text { Evaluate } 5 x + \frac { 2 y } { 3 } \text { when } x = 2 \text { and } y = - 1 \text {. }$

Write the phrase in symbols: Eight less than three times a number. A) $3 ( 8 - x )$ B) $3 x - 8$ C) $3 ( x - 8 )$ D) $8 - 3 x$

Solve by using the quadratic formula. $3 x ^ { 2 } - 11 x - 4 = 0$ A) $\left\{ - \frac { 1 } { 3 } , 4 \right\}$ B) $\left\{ - \frac { 1 } { 4 } , 3 \right\}$ C) $\left\{ \frac { 1 } { 4 } , - 4 \right\}$ D) $\left\{ \frac { 1 } { 3 } , - 4 \right\}$

Write the ratio as a fraction and reduce to lowest terms. 4 feet to 20 inches A) $\frac { 12 } { 5 }$ B) $\frac { 5 } { 1 }$ C) $\frac { 1 } { 5 }$ D) $\frac { 5 } { 12 }$

Which two terms in the expression are like terms? $7 z + 7 z ^ { 2 } - 5 z + 5$ A) $7 z$ and $- 5 z$ B) there are no like terms C) $- 5 z$ and 5 D) $7 z$ and $7 z ^ { 2 }$

A 3-foot pole casts a shadow of 8 feet. How tall is a tree with a shadow of 19 feet?

How long will it take an object to hit the ground if it is dropped from a height of 1024 feet? (Use $d = r t + 16 t ^ { 2 }$ .) Assume the object initially is held still.

A couple has $20,000 to use toward the purchase their first home. If they put down a 20% down payment and pay $5,000 in closing costs, what is the maximum home price they can afford?

$\text { Evaluate } 5 m ^ { 2 } - 3 m + 1 \text { when } m = - 2 \text {. }$

Solve the inequality and graph the solution set. $- 5 \leq x - 1 < 7$

Simplify: $- 6 ( 3 x + 7 )$ A) $- 18 x - 42$ в) $- 60 x$ C) $18 x - 42$ D) $- 18 x + 7$

Simplify: -2(3b + 1) + 10b - 4

Show solution using a graph. $- 3 < x < - 1$ A) B) C) D)

Solve the inequality and graph the solution set. $0 < 4 ( 3 - 2 x ) < 16$

Problem Solving

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Exam 6: Topics in Algebra

Solve: −7+x=−6\text { Solve: } - 7 + x = - 6 Solve: −7+x=−6

Write the ratio as a fraction and reduce to lowest terms. 3 to 7

Solve: x2−15=4x3+12\text { Solve: } \frac { x } { 2 } - \frac { 1 } { 5 } = \frac { 4 x } { 3 } + \frac { 1 } { 2 } Solve: 2x​−51​=34x​+21​

The difference of two numbers is 1. The sum of the numbers is 39. Find the numbers.

Steve earned scores of 84 and 75 on his first two exams. What will his average grade be if he gets a 78 on his third exam?

Evaluate 5x+2y3 when x=2 and y=−1. \text { Evaluate } 5 x + \frac { 2 y } { 3 } \text { when } x = 2 \text { and } y = - 1 \text {. } Evaluate 5x+32y​ when x=2 and y=−1.

Write the phrase in symbols: Eight less than three times a number. A) 3(8−x)3 ( 8 - x )3(8−x) B) 3x−83 x - 83x−8 C) 3(x−8)3 ( x - 8 )3(x−8) D) 8−3x8 - 3 x8−3x

Write the ratio as a fraction and reduce to lowest terms. 4 feet to 20 inches A) 125\frac { 12 } { 5 }512​ B) 51\frac { 5 } { 1 }15​ C) 15\frac { 1 } { 5 }51​ D) 512\frac { 5 } { 12 }125​

Which two terms in the expression are like terms? 7z+7z2−5z+57 z + 7 z ^ { 2 } - 5 z + 57z+7z2−5z+5 A) 7z7 z7z and −5z- 5 z−5z B) there are no like terms C) −5z- 5 z−5z and 5 D) 7z7 z7z and 7z27 z ^ { 2 }7z2

A 3-foot pole casts a shadow of 8 feet. How tall is a tree with a shadow of 19 feet?

How long will it take an object to hit the ground if it is dropped from a height of 1024 feet? (Use d=rt+16t2d = r t + 16 t ^ { 2 }d=rt+16t2 .) Assume the object initially is held still.

A couple has $20,000 to use toward the purchase their first home. If they put down a 20% down payment and pay $5,000 in closing costs, what is the maximum home price they can afford?

Evaluate 5m2−3m+1 when m=−2. \text { Evaluate } 5 m ^ { 2 } - 3 m + 1 \text { when } m = - 2 \text {. } Evaluate 5m2−3m+1 when m=−2.

Solve the inequality and graph the solution set. −5≤x−1<7- 5 \leq x - 1 < 7−5≤x−1<7

Simplify: −6(3x+7)- 6 ( 3 x + 7 )−6(3x+7) A) −18x−42- 18 x - 42−18x−42 в) −60x- 60 x−60x C) 18x−4218 x - 4218x−42 D) −18x+7- 18 x + 7−18x+7

Show the solutions using a graph: −1<x≤5- 1 < x \leq 5−1<x≤5 A) B) C) D)

Simplify: -2(3b + 1) + 10b - 4

Show solution using a graph. −3<x<−1- 3 < x < - 1−3<x<−1 A) B) C) D)

Solve the inequality and graph the solution set. 0<4(3−2x)<160 < 4 ( 3 - 2 x ) < 160<4(3−2x)<16

Problem Solving

Set

Logic

Numeration Systems

The Real Number System

Consumer Mathematics

Measurement

Geometry

Probability and Counting Techniques

Statistics

Voting Methods

Graph Theory

Available Online: Other Mathematical Systems

Summary

Filters

$\text { Solve: } - 7 + x = - 6$

$\text { Solve: } \frac { x } { 2 } - \frac { 1 } { 5 } = \frac { 4 x } { 3 } + \frac { 1 } { 2 }$

$\text { Evaluate } 5 x + \frac { 2 y } { 3 } \text { when } x = 2 \text { and } y = - 1 \text {. }$

Write the phrase in symbols: Eight less than three times a number. A) $3 ( 8 - x )$ B) $3 x - 8$ C) $3 ( x - 8 )$ D) $8 - 3 x$

Write the ratio as a fraction and reduce to lowest terms. 4 feet to 20 inches A) $\frac { 12 } { 5 }$ B) $\frac { 5 } { 1 }$ C) $\frac { 1 } { 5 }$ D) $\frac { 5 } { 12 }$

Which two terms in the expression are like terms? $7 z + 7 z ^ { 2 } - 5 z + 5$ A) $7 z$ and $- 5 z$ B) there are no like terms C) $- 5 z$ and 5 D) $7 z$ and $7 z ^ { 2 }$

How long will it take an object to hit the ground if it is dropped from a height of 1024 feet? (Use $d = r t + 16 t ^ { 2 }$ .) Assume the object initially is held still.

$\text { Evaluate } 5 m ^ { 2 } - 3 m + 1 \text { when } m = - 2 \text {. }$

Solve the inequality and graph the solution set. $- 5 \leq x - 1 < 7$

Simplify: $- 6 ( 3 x + 7 )$ A) $- 18 x - 42$ в) $- 60 x$ C) $18 x - 42$ D) $- 18 x + 7$

Show solution using a graph. $- 3 < x < - 1$ A) B) C) D)

Solve the inequality and graph the solution set. $0 < 4 ( 3 - 2 x ) < 16$