Question 1

Use the order of operations to simplify the expression.
-0 ÷ 5 + 2 ·7

Accepted Answer

A)  Undefined 
B)  49 
C)  14 
D)  19 
A)  Undefined 
B)  49 
C)  14 
D)  19

Question 2

Use the order of operations to simplify the expression.
-$$23 - [ 6 - ( 4 - 12 ) ] + ( 2 - 4 ) ^ { 3 }$$

Accepted Answer

A)  17 
B)  33 
C)  1 
D)  -17 
A)  17 
B)  33 
C)  1 
D)  -17

Question 3

Use the indicated property to write an algebraic expression equivalent to the given expression.
-8x + 20; commutative of addition

Accepted Answer

A)  8x - 20 
B)  20 + 8x 
C)  20x + 8 
D)  -8x + 20 
A)  8x - 20 
B)  20 + 8x 
C)  20x + 8 
D)  -8x + 20

Question 4

Use the order of operations to simplify the expression.
-$$16 - \sqrt { 2 ^ { 2 } + 3 \cdot 7 }$$

Accepted Answer

A)  21 
B)  10 
C)  $16 - 2 \sqrt { 21 }$ 
D)  11 
A)  21 
B)  10 
C)  $16 - 2 \sqrt { 21 }$ 
D)  11

Question 5

Solve the equation.
-3x + 5 = 35

Accepted Answer

A)  {10} 
B)  {6} 
C)  {31} 
D)  {27} 
A)  {10} 
B)  {6} 
C)  {31} 
D)  {27}

Question 6

Use the order of operations to simplify the expression.
-4 · [2(2 - 6) - 3]

Accepted Answer

A)  -20 
B)  -44 
C)  16 
D)  12 
A)  -20 
B)  -44 
C)  16 
D)  12

Question 7

Divide as indicated or state that the division is undefined.
-$\frac { 5 } { 8 } + \left( - \frac { 3 } { 5 } \right)$

Accepted Answer

A)  $- \frac { 3 } { 8 }$ 
B)  $\frac { 25 } { 24 }$ 
C)  $- \frac { 25 } { 24 }$ 
D)  $\frac { 24 } { 25 }$ 
A)  $- \frac { 3 } { 8 }$ 
B)  $\frac { 25 } { 24 }$ 
C)  $- \frac { 25 } { 24 }$ 
D)  $\frac { 24 } { 25 }$

Question 8

Find the absolute value.
-$| 2.9 |$

Accepted Answer

A)  -2.9 
B)  0 
C)  5.8 
D)  2.9 
A)  -2.9 
B)  0 
C)  5.8 
D)  2.9

Question 9

Multiply as indicated.
-(4)(-3)(-3)

Accepted Answer

A)  36 
B)  -24 
C)  46 
D)  -36 
A)  36 
B)  -24 
C)  46 
D)  -36

Question 10

Match the story with the correct figure.
-The amount of rainfall as a function of time, if the rain fell more and more softly.

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 11

--14.9 + (-13.7)

Accepted Answer

A)  28.6 
B)  -28.6 
C)  1.2 
D)  -1.2 
A)  28.6 
B)  -28.6 
C)  1.2 
D)  -1.2

Question 12

Solve.
-If a rock falls from a height of 80 meters above the ground, the height H (in meters) after x seconds is approximately H = 80 - 4.9x². What is the height of the rock after 2 seconds? (Round your answer to the nearest tenth.)

Accepted Answer

A)  70.2 m 
B)  300.4 m 
C)  -16.04 m 
D)  60.4 m 
A)  70.2 m 
B)  300.4 m 
C)  -16.04 m 
D)  60.4 m

Question 13

Use the order of operations to simplify the expression.
-$$\frac { ( - 7 ) \cdot ( 6 - 5 ) + ( - 7 ) \cdot 5 } { ( - 7 ) \cdot ( 7 - 2 ) }$$

Accepted Answer

A)  0 
B)  2 
C)  220 
D)  6 47 5 
A)  0 
B)  2 
C)  220 
D)  6 47 5

Question 14

For which values of x is Y1 = Y2?

Accepted Answer

A)  -1 and -2 
B)  -1 and 3 
C)  -2 and 1 
D)  -2 and 3 
A)  -1 and -2 
B)  -1 and 3 
C)  -2 and 1 
D)  -2 and 3

Question 15

Graph the equation.
-

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 16

Multiply as indicated.
-(-27)(30)

Accepted Answer

A)  -910 
B)  -810 
C)  -840 
D)  -8100 
A)  -910 
B)  -810 
C)  -840 
D)  -8100

Question 17

Solve the problem.
-The formula $C = 0.057 x ^ { 2 } + 0.67 x + 4.6$ can be used to approximate the number, $C$, (in millions) of laptops sold over a ten-year period, where $x$ is the number of years since the first year this information was recorded. According to this formula, how many laptops were sold in year 10 ? Round the answer to the nearest tenth of a million.

Accepted Answer

A)  17 million 
B)  11.9 million 
C)  4.6 million 
D)  15.2 million 
A)  17 million 
B)  11.9 million 
C)  4.6 million 
D)  15.2 million

Question 18

Simplify the algebraic expression.
-$$- 5 x ^ { 7 } + 8 x ^ { 7 }$$

Accepted Answer

A)  $3 x ^ { 7 }$ 
B)  $2 x ^ { 7 }$ 
C)  $3 x ^ { 49 }$ 
D)  $3 x ^{14}$ 
A)  $3 x ^ { 7 }$ 
B)  $2 x ^ { 7 }$ 
C)  $3 x ^ { 49 }$ 
D)  $3 x ^{14}$

Question 19

Express the interval in set builder notation and graph the interval on a number line.
-$$[ - 4,7 ]$$

Accepted Answer

A)  $\{ x \mid - 4 < x < 7 \}$
  
B)  $\{ x \mid - 4 \leq x \leq 7 \}$
  
C)  $\{ x \mid - 4 < x \leq 7 \}$
  
D)  $\{ x \mid - 4 \leq x < 7 \}$
  
A)  $\{ x \mid - 4 < x < 7 \}$
  
B)  $\{ x \mid - 4 \leq x \leq 7 \}$
  
C)  $\{ x \mid - 4 < x \leq 7 \}$
  
D)  $\{ x \mid - 4 \leq x < 7 \}$

Question 20

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-During which hour did the temperature increase the most?

Accepted Answer

A)  9 a.m. to 10 a.m. 
B)  10 a.m. to 11 a.m. 
C)  1 p.m. to 2 p.m. 
D)  12 p.m. to 1 p.m. 
A)  9 a.m. to 10 a.m. 
B)  10 a.m. to 11 a.m. 
C)  1 p.m. to 2 p.m. 
D)  12 p.m. to 1 p.m.

Use the order of operations to simplify the expression. -0 ÷ 5 + 2 ·7

Use the order of operations to simplify the expression. - $23 - [ 6 - ( 4 - 12 ) ] + ( 2 - 4 ) ^ { 3 }$

Use the indicated property to write an algebraic expression equivalent to the given expression. -8x + 20; commutative of addition

Use the order of operations to simplify the expression. - $16 - \sqrt { 2 ^ { 2 } + 3 \cdot 7 }$

Solve the equation. -3x + 5 = 35

Use the order of operations to simplify the expression. -4 · [2(2 - 6) - 3]

Divide as indicated or state that the division is undefined. - $\frac { 5 } { 8 } + \left( - \frac { 3 } { 5 } \right)$

Find the absolute value. - $| 2.9 |$

Multiply as indicated. -(4)(-3)(-3)

Match the story with the correct figure. -The amount of rainfall as a function of time, if the rain fell more and more softly.

--14.9 + (-13.7)

Solve. -If a rock falls from a height of 80 meters above the ground, the height H (in meters) after x seconds is approximately H = 80 - 4.9x². What is the height of the rock after 2 seconds? (Round your answer to the nearest tenth.)

Use the order of operations to simplify the expression. - $\frac { ( - 7 ) \cdot ( 6 - 5 ) + ( - 7 ) \cdot 5 } { ( - 7 ) \cdot ( 7 - 2 ) }$

For which values of x is Y1 = Y2?

Graph the equation. -

Multiply as indicated. -(-27)(30)

Simplify the algebraic expression. - $- 5 x ^ { 7 } + 8 x ^ { 7 }$

Express the interval in set builder notation and graph the interval on a number line. - $[ - 4,7 ]$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -During which hour did the temperature increase the most?

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Exam 1: Algebra, Mathematical Models, and Problem Solving

Use the order of operations to simplify the expression. -0 ÷ 5 + 2 ·7

Use the order of operations to simplify the expression. - 23−[6−(4−12)]+(2−4)323 - [ 6 - ( 4 - 12 ) ] + ( 2 - 4 ) ^ { 3 }23−[6−(4−12)]+(2−4)3

Use the indicated property to write an algebraic expression equivalent to the given expression. -8x + 20; commutative of addition

Use the order of operations to simplify the expression. - 16−22+3⋅716 - \sqrt { 2 ^ { 2 } + 3 \cdot 7 }16−22+3⋅7​

Solve the equation. -3x + 5 = 35

Use the order of operations to simplify the expression. -4 · [2(2 - 6) - 3]

Divide as indicated or state that the division is undefined. - 58+(−35)\frac { 5 } { 8 } + \left( - \frac { 3 } { 5 } \right)85​+(−53​)

Find the absolute value. - ∣2.9∣| 2.9 |∣2.9∣

Multiply as indicated. -(4)(-3)(-3)

Match the story with the correct figure. -The amount of rainfall as a function of time, if the rain fell more and more softly.

--14.9 + (-13.7)

Solve. -If a rock falls from a height of 80 meters above the ground, the height H (in meters) after x seconds is approximately H = 80 - 4.9x². What is the height of the rock after 2 seconds? (Round your answer to the nearest tenth.)

Use the order of operations to simplify the expression. - (−7)⋅(6−5)+(−7)⋅5(−7)⋅(7−2)\frac { ( - 7 ) \cdot ( 6 - 5 ) + ( - 7 ) \cdot 5 } { ( - 7 ) \cdot ( 7 - 2 ) }(−7)⋅(7−2)(−7)⋅(6−5)+(−7)⋅5​

For which values of x is Y1 = Y2?

Graph the equation. -

Multiply as indicated. -(-27)(30)

Simplify the algebraic expression. - −5x7+8x7- 5 x ^ { 7 } + 8 x ^ { 7 }−5x7+8x7

Express the interval in set builder notation and graph the interval on a number line. - [−4,7][ - 4,7 ][−4,7]

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -During which hour did the temperature increase the most?

Functions and Linear Functions

Systems of Linear Equations

Inequalities and Problem Solving

Polynomials, Polynomial Functions, and Factoring

Rational Expressions, Functions, and Equations

Radicals, Radical Functions, and Rational Exponents

Quadratic Equations and Functions

Filters

Use the order of operations to simplify the expression. - $23 - [ 6 - ( 4 - 12 ) ] + ( 2 - 4 ) ^ { 3 }$

Use the order of operations to simplify the expression. - $16 - \sqrt { 2 ^ { 2 } + 3 \cdot 7 }$

Divide as indicated or state that the division is undefined. - $\frac { 5 } { 8 } + \left( - \frac { 3 } { 5 } \right)$

Find the absolute value. - $| 2.9 |$

Use the order of operations to simplify the expression. - $\frac { ( - 7 ) \cdot ( 6 - 5 ) + ( - 7 ) \cdot 5 } { ( - 7 ) \cdot ( 7 - 2 ) }$

Simplify the algebraic expression. - $- 5 x ^ { 7 } + 8 x ^ { 7 }$

Express the interval in set builder notation and graph the interval on a number line. - $[ - 4,7 ]$