Question 1

Solve the problem by combining like terms.
-A rectangle has sides of length 8x + 3 meters and 4x - 5 meters. What is the perimeter of the rectangle?

Accepted Answer

A) 24x - 4 meters 
B) 20x meters 
C) 12x - 2 meters 
D) 24x - 2 meters 
A) 24x - 4 meters 
B) 20x meters 
C) 12x - 2 meters 
D) 24x - 2 meters

Question 2

Divide and write the answer in simplest form.
--8.1 ÷ 0.09

Accepted Answer

A) -80.1 
B) -8.01 
C) -90 $$\text { 
D)  } \frac { 1 } { 90 }$$ 
A) -80.1 
B) -8.01 
C) -90 $$\text { 
D)  } \frac { 1 } { 90 }$$

Question 3

Solve the problem by combining like terms.
-A triangle has sides of length 9a + 11 inches, 13a + 16b inches, and 18b + 20 inches. What is the perimeter of the triangle?

Accepted Answer

A)  $22 a + 34 b + 31$ inches 
B)  $22 a + 16 b + 31$ inches 
C)  $56 a b + 31$ inches 
D)  $22 a + 34 b + 20$ inches 
A)  $22 a + 34 b + 31$ inches 
B)  $22 a + 16 b + 31$ inches 
C)  $56 a b + 31$ inches 
D)  $22 a + 34 b + 20$ inches

Question 4

Add.
-- 5.36 + (- 13.4)

Accepted Answer

A) -18.76 
B) -18.4 
C) -8.04 
D) 8)04 
A) -18.76 
B) -18.4 
C) -8.04 
D) 8)04

Question 5

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational,
irrational, real.
-They hiked 121 feet below sea level.

Accepted Answer

A) -121 
B) +121 
A) -121 
B) +121

Question 6

Solve the problem.
-$\frac { y } { 5 } ( 4 y - x - 15 )$

Accepted Answer

A)  $\frac { 4 } { 5 } y ^ { 2 } - x - 15$ 
B)  $\frac { 4 } { 5 } y ^ { 2 } - \frac { x y } { 5 } - 3 y$ 
C)  $\frac { 4 } { 5 } y ^ { 2 } - \frac { x } { 5 } - 3$ 
D)  $\frac { 4 } { 5 } y ^ { 2 } + \frac { x y } { 5 } + 3 y$ 
A)  $\frac { 4 } { 5 } y ^ { 2 } - x - 15$ 
B)  $\frac { 4 } { 5 } y ^ { 2 } - \frac { x y } { 5 } - 3 y$ 
C)  $\frac { 4 } { 5 } y ^ { 2 } - \frac { x } { 5 } - 3$ 
D)  $\frac { 4 } { 5 } y ^ { 2 } + \frac { x y } { 5 } + 3 y$

Question 7

Combine like terms.
-$$7 a + 4 b + 5 - 9 b + 4 a + 2$$

Accepted Answer

A)  $11 a - 5 b + 7$ 
B)  $11 a ^ { 2 } - 5 b ^ { 2 } + 7$ 
C)  $11 a - 2 b + 6$ 
D)  $\mathrm { ab }$ 
A)  $11 a - 5 b + 7$ 
B)  $11 a ^ { 2 } - 5 b ^ { 2 } + 7$ 
C)  $11 a - 2 b + 6$ 
D)  $\mathrm { ab }$

Question 8

Solve the problem.
--2.3(-14)

Accepted Answer

A) 16.3 
B) 32.2 
C) -16.3 
D) -11.7 
A) 16.3 
B) 32.2 
C) -16.3 
D) -11.7

Question 9

Simplify the expression, and combine like terms.
-$$- 9 ( 5 x + 10 y ) + 4 ( 4 x + 10 y )$$

Accepted Answer

A)  $- 4 x - 50 y$ 
B)  $- 29 x + 10 y + 10$ 
C)  $- 29 x - 50 y$ 
D)  $- 135 x y$ 
A)  $- 4 x - 50 y$ 
B)  $- 29 x + 10 y + 10$ 
C)  $- 29 x - 50 y$ 
D)  $- 135 x y$

Question 10

Divide and write the answer in simplest form.
-- 7.2 ÷ 9

Accepted Answer

A) - 0.8 
B) 8 
C) - 8 
D) - 0.08 
A) - 0.8 
B) 8 
C) - 8 
D) - 0.08

Question 11

Solve the problem.
-The difference between a country's exports and imports is called the country's trade balance. If a country had $ 137 billion in exports and $280 billion in imports, what was the country's trade balance?

Accepted Answer

A) $417 billion 
B) $143 billion 
C) -$143 billion 
D) -$417 billion 
A) $417 billion 
B) $143 billion 
C) -$143 billion 
D) -$417 billion

Question 12

Divide and write the answer in simplest form.
-$$- \frac { 5 } { 4 } \div \frac { 11 } { 3 }$$

Accepted Answer

A)  $\frac { 15 } { 44 }$ 
B)  $- \frac { 55 } { 12 }$ 
C)  $- \frac { 15 } { 44 }$ 
D)  $\frac { 55 } { 12 }$ 
A)  $\frac { 15 } { 44 }$ 
B)  $- \frac { 55 } { 12 }$ 
C)  $- \frac { 15 } { 44 }$ 
D)  $\frac { 55 } { 12 }$

Question 13

Solve the problem.
-At the end of last year, Widgets Unlimited, Inc. posted a net income of -$223.4 billion. If this continues, what would its income be after three years?

Accepted Answer

A) -$670.2 billion 
B) -$226.4 billion 
C) -$6702 billion 
D) $670.2 billion 
A) -$670.2 billion 
B) -$226.4 billion 
C) -$6702 billion 
D) $670.2 billion

Question 14

Subtract.
-0 - (-18)

Accepted Answer

A) 0 
B) 36 
C) -18 
D) 18 
A) 0 
B) 36 
C) -18 
D) 18

Question 15

List the like terms of the expression.
-$$- 6 y + 3 - 5 + 5 x + y - 3$$

Accepted Answer

A)  $- 6 y , 5 x$, and y are like terms 
$3 , - 5$, and $- 3$ are like terms 
B)  -6y and $y$ are like terms 
$3 , - 5,5 x$, and $- 3$ are like terms 
C)  -6y and y are like terms
$3 , - 5$, and $- 3$ are like terms 
D)  $- 6 y$ and $y$ are like terms 
A)  $- 6 y , 5 x$, and y are like terms 
$3 , - 5$, and $- 3$ are like terms 
B)  -6y and $y$ are like terms 
$3 , - 5,5 x$, and $- 3$ are like terms 
C)  -6y and y are like terms
$3 , - 5$, and $- 3$ are like terms 
D)  $- 6 y$ and $y$ are like terms

Question 16

List the like terms of the expression.
-$$9 x - 6 x + 2$$

Accepted Answer

A)  There are no like terms 
B)  $9 x$ and 2 are like terms 
C)  $9 x , - 6 x$, and 2 are like terms 
D)  $9 x$ and $- 6 x$ are like terms 
A)  There are no like terms 
B)  $9 x$ and 2 are like terms 
C)  $9 x , - 6 x$, and 2 are like terms 
D)  $9 x$ and $- 6 x$ are like terms

Question 17

Evaluate.
-$\left( \frac { 6 } { 7 } \right) ^ { 4 }$

Accepted Answer

A)  $\frac { 24 } { 7 }$ 
B)  $\frac { 1296 } { 7 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1296 } { 2401 }$ 
A)  $\frac { 24 } { 7 }$ 
B)  $\frac { 1296 } { 7 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1296 } { 2401 }$

Question 18

Add.
-$$- \frac { 3 } { 8 } + \frac { 7 } { 9 }$$

Accepted Answer

A)  $\frac { 4 } { 9 }$ 
B)  $\frac { 29 } { 72 }$ 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 29 } { 9 }$ 
A)  $\frac { 4 } { 9 }$ 
B)  $\frac { 29 } { 72 }$ 
C)  $\frac { 1 } { 18 }$ 
D)  $\frac { 29 } { 9 }$

Question 19

Solve the problem.
-Sean has $585 in his savings account. After he withdraws $35, what will his balance be?

Accepted Answer

A) $550 
B) $620 
C) -$620 
D) -$550 
A) $550 
B) $620 
C) -$620 
D) -$550

Question 20

Solve the problem.
-A deep-sea diver dives from the surface to 197 meters below the surface and then swims up 7 meters, down 17 meters, down another 28 meters, and then up 25 meters. Find the diver's depth after these movements.

Accepted Answer

A) 210 meters below the surface 
B) 224 meters below the surface 
C) 120 meters below the surface 
D) 154 meters below the surface 
A) 210 meters below the surface 
B) 224 meters below the surface 
C) 120 meters below the surface 
D) 154 meters below the surface

Solve the problem by combining like terms. -A rectangle has sides of length 8x + 3 meters and 4x - 5 meters. What is the perimeter of the rectangle?

Divide and write the answer in simplest form. --8.1 ÷ 0.09

Solve the problem by combining like terms. -A triangle has sides of length 9a + 11 inches, 13a + 16b inches, and 18b + 20 inches. What is the perimeter of the triangle?

Add. -- 5.36 + (- 13.4)

Choose which of the following descriptions apply to the number (more than one may apply): whole, integer, rational, irrational, real. -They hiked 121 feet below sea level.

Solve the problem. - $\frac { y } { 5 } ( 4 y - x - 15 )$

Combine like terms. - $7 a + 4 b + 5 - 9 b + 4 a + 2$

Solve the problem. --2.3(-14)

Simplify the expression, and combine like terms. - $- 9 ( 5 x + 10 y ) + 4 ( 4 x + 10 y )$

Divide and write the answer in simplest form. -- 7.2 ÷ 9

Solve the problem. -The difference between a country's exports and imports is called the country's trade balance. If a country had $ 137 billion in exports and $280 billion in imports, what was the country's trade balance?

Divide and write the answer in simplest form. - $- \frac { 5 } { 4 } \div \frac { 11 } { 3 }$

Solve the problem. -At the end of last year, Widgets Unlimited, Inc. posted a net income of -$223.4 billion. If this continues, what would its income be after three years?

Subtract. -0 - (-18)

List the like terms of the expression. - $- 6 y + 3 - 5 + 5 x + y - 3$

List the like terms of the expression. - $9 x - 6 x + 2$

Evaluate. - $\left( \frac { 6 } { 7 } \right) ^ { 4 }$

Add. - $- \frac { 3 } { 8 } + \frac { 7 } { 9 }$

Solve the problem. -Sean has $585 in his savings account. After he withdraws $35, what will his balance be?

Solve the problem. -A deep-sea diver dives from the surface to 197 meters below the surface and then swims up 7 meters, down 17 meters, down another 28 meters, and then up 25 meters. Find the diver's depth after these movements.

Equations, Inequalities, and Applications

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 1: Real Numbers and Variables