Question 1

$\frac { 1 } { 7 } - \left( - \frac { 4 } { 7 } \right)$

Accepted Answer

A)  $- \frac { 5 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $- \frac { 3 } { 7 }$ 
D)  $\frac { 5 } { 7 }$ 
A)  $- \frac { 5 } { 7 }$ 
B)  $\frac { 3 } { 7 }$ 
C)  $- \frac { 3 } { 7 }$ 
D)  $\frac { 5 } { 7 }$

Question 2

Evaluate.
-$( - 4 ) ^ { 3 }$

Accepted Answer

A)  $- 12$ 
B)  64 
C)  $- 1$ 
D)  $- 64$ 
A)  $- 12$ 
B)  64 
C)  $- 1$ 
D)  $- 64$

Question 3

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve. $$\begin{array} { r | c | c } 
\mathrm { X } & \mathrm { Y } _ { 1 } & \mathrm { Y } _ { 2 } \
\hline - 3 & 9 & - 3 \
- 2 & 4 & - 1 \
- 1 & 1 & 1 \
0 & 0 & 3 \
1 & 1 & 5 \
2 & 4 & 7 \
3 & 9 & 9
\end{array}$$
-Which equation corresponds to Y2 in the table?

Accepted Answer

A)  $y _ { 2 } = 3 - 2 x$ 
B)  $y _ { 2 } = 3 x - 2$ 
C)  $y _ { 2 } = 2 x + 3$ 
D)  $y _ { 2 } = x + 3$ 
A)  $y _ { 2 } = 3 - 2 x$ 
B)  $y _ { 2 } = 3 x - 2$ 
C)  $y _ { 2 } = 2 x + 3$ 
D)  $y _ { 2 } = x + 3$

Question 4

Solve the equation.
-3x - 6 = 12

Accepted Answer

A)  {15} 
B)  {10} 
C)  {6} 
D)  {19} 
A)  {15} 
B)  {10} 
C)  {6} 
D)  {19}

Question 5

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what time was the temperature the highest?

Accepted Answer

A)  11 a.m. 
B)  2 p.m. 
C)  5 p.m. 
D)  1 p.m. 
A)  11 a.m. 
B)  2 p.m. 
C)  5 p.m. 
D)  1 p.m.

Question 6

Simplify the algebraic expression.
-$$- 8 x - 6 x$$

Accepted Answer

A)  $- 2 x$ 
B)  $48 \mathrm { x }$ 
C)  $- 14 x$ 
D)  $- 14 + x$ 
A)  $- 2 x$ 
B)  $48 \mathrm { x }$ 
C)  $- 14 x$ 
D)  $- 14 + x$

Question 7

Find -x for the given value of x.
-$$x = \frac { 3 } { 8 }$$

Accepted Answer

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

Question 8

Use the order of operations to simplify the expression.
-$$\sqrt { 8 ^ { 2 } } - | - 8 + 10 | + 3$$

Accepted Answer

A)  65 
B)  13 
C)  3 
D)  9 
A)  65 
B)  13 
C)  3 
D)  9

Question 9

Express the interval in set builder notation and graph the interval on a number line.
-$$( - \infty , 2 ]$$

Accepted Answer

A)  $\{ x \mid x \leq 2 \}$
  
B)  $\{ x \mid x \leq 2 \}$
  
C)  $\{ x \mid x < 2 \}$
  
D)  $\{ x \mid x < 2 \}$
  
A)  $\{ x \mid x \leq 2 \}$
  
B)  $\{ x \mid x \leq 2 \}$
  
C)  $\{ x \mid x < 2 \}$
  
D)  $\{ x \mid x < 2 \}$

Question 10

Evaluate the expression for the given values.
-3x - y, for x = 9 and y = 5

Accepted Answer

A)  54 
B)  32 
C)  22 
D)  8 
A)  54 
B)  32 
C)  22 
D)  8

Question 11

Graph the equation.
-$$y = \frac { 1 } { 5 } x + 6$$

Accepted Answer

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

Question 12

Solve the problem.
-Jorge has a total of 66 coins, all of which are either dimes or nickels. If d of the coins are dimes, then the total value of the coins (in dollars) is given by the algebraic expression 0.1d + 0.05(66 - d). If the number of dimes is 37, determine the total value of the coins.

Accepted Answer

A)  $6.05 
B)  $3.90 
C)  $5.15 
D)  $4.65 
A)  $6.05 
B)  $3.90 
C)  $5.15 
D)  $4.65

Question 13

Match the story with the correct figure.
-The height of an animal as a function of time.

Accepted Answer

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

Question 14

Solve the problem.
-The median age at which men in a certain county were first married can be modeled by the formula $A = 0.0042 x ^ { 2 } - 0.44 x + 36.97$ where $x$ is the number of years after 2000 . What would be the predicted median age at first marriage for men in the year 2052? Round to the nearest tenth of a year.

Accepted Answer

A)  25.4 yr 
B)  23.7 yr 
C)  26.7 yr 
D)  27.2 yr 
A)  25.4 yr 
B)  23.7 yr 
C)  26.7 yr 
D)  27.2 yr

Question 15

Determine whether the statement is true or false.
-Every real number is either rational or irrational.

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

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

Question 17

Determine whether the statement is true or false.
-Some square roots are not irrational.

Accepted Answer

A) True 
 B)False

Question 18

Express the interval in set builder notation and graph the interval on a number line.
-$$( - \infty , 6.5 ]$$

Accepted Answer

A) $\{ x \mid x \geq 6.5 \}$ B) $\{ x \mid x \leq 6.5 \}$ C) $\{ x \mid x > 6.5 \}$ D) $\{ x \mid x < 6.5 \}$ A) $\{ x \mid x \geq 6.5 \}$ B) $\{ x \mid x \leq 6.5 \}$ C) $\{ x \mid x > 6.5 \}$ D) $\{ x \mid x < 6.5 \}$

Question 19

Solve the problem.
-If a ball is thrown upward with a speed of 33.1 feet per second from a 124.26 ft high window, then its height t seconds after it is thrown is given by the formula h = -16t2 + 33.1t + 124.26. Find the height of the ball 1.2 seconds after it is thrown.

Accepted Answer

A)  187.02 ft 
B)  61.5 ft 
C)  107.58 ft 
D)  140.94 ft 
A)  187.02 ft 
B)  61.5 ft 
C)  107.58 ft 
D)  140.94 ft

Question 20

-14.7 + (-14.7)

Accepted Answer

A)  2 
B)  0 
C)  14.7 
D)  -14.7 
A)  2 
B)  0 
C)  14.7 
D)  -14.7

$\frac { 1 } { 7 } - \left( - \frac { 4 } { 7 } \right)$

Evaluate. - $( - 4 ) ^ { 3 }$

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve. -3 9 -3 -2 4 -1 -1 1 1 0 0 3 1 1 5 2 4 7 3 9 9 -Which equation corresponds to Y2 in the table?

Solve the equation. -3x - 6 = 12

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature the highest?

Simplify the algebraic expression. - $- 8 x - 6 x$

Find -x for the given value of x. - $x = \frac { 3 } { 8 }$

Use the order of operations to simplify the expression. - $\sqrt { 8 ^ { 2 } } - | - 8 + 10 | + 3$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 2 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 2 ]$

Evaluate the expression for the given values. -3x - y, for x = 9 and y = 5

Graph the equation. - $y = \frac { 1 } { 5 } x + 6$ $Graph the equation. - y = \frac { 1 } { 5 } x + 6$

Solve the problem. -Jorge has a total of 66 coins, all of which are either dimes or nickels. If d of the coins are dimes, then the total value of the coins (in dollars) is given by the algebraic expression 0.1d + 0.05(66 - d). If the number of dimes is 37, determine the total value of the coins.

Match the story with the correct figure. -The height of an animal as a function of time.

Determine whether the statement is true or false. -Every real number is either rational or irrational.

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

Determine whether the statement is true or false. -Some square roots are not irrational.

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 6.5 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 6.5 ]$

Solve the problem. -If a ball is thrown upward with a speed of 33.1 feet per second from a 124.26 ft high window, then its height t seconds after it is thrown is given by the formula h = -16t2 + 33.1t + 124.26. Find the height of the ball 1.2 seconds after it is thrown.

-14.7 + (-14.7)

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

17−(−47)\frac { 1 } { 7 } - \left( - \frac { 4 } { 7 } \right)71​−(−74​)

Evaluate. - (−4)3( - 4 ) ^ { 3 }(−4)3

The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve. -3 9 -3 -2 4 -1 -1 1 1 0 0 3 1 1 5 2 4 7 3 9 9 -Which equation corresponds to Y2 in the table?

Solve the equation. -3x - 6 = 12

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what time was the temperature the highest?

Simplify the algebraic expression. - −8x−6x- 8 x - 6 x−8x−6x

Find -x for the given value of x. - x=38x = \frac { 3 } { 8 }x=83​

Use the order of operations to simplify the expression. - 82−∣−8+10∣+3\sqrt { 8 ^ { 2 } } - | - 8 + 10 | + 382​−∣−8+10∣+3

Express the interval in set builder notation and graph the interval on a number line. - (−∞,2]( - \infty , 2 ](−∞,2]

Evaluate the expression for the given values. -3x - y, for x = 9 and y = 5

Graph the equation. - y=15x+6y = \frac { 1 } { 5 } x + 6y=51​x+6

Solve the problem. -Jorge has a total of 66 coins, all of which are either dimes or nickels. If d of the coins are dimes, then the total value of the coins (in dollars) is given by the algebraic expression 0.1d + 0.05(66 - d). If the number of dimes is 37, determine the total value of the coins.

Match the story with the correct figure. -The height of an animal as a function of time.

Determine whether the statement is true or false. -Every real number is either rational or irrational.

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

Determine whether the statement is true or false. -Some square roots are not irrational.

Express the interval in set builder notation and graph the interval on a number line. - (−∞,6.5]( - \infty , 6.5 ](−∞,6.5]

Solve the problem. -If a ball is thrown upward with a speed of 33.1 feet per second from a 124.26 ft high window, then its height t seconds after it is thrown is given by the formula h = -16t2 + 33.1t + 124.26. Find the height of the ball 1.2 seconds after it is thrown.

-14.7 + (-14.7)

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

$\frac { 1 } { 7 } - \left( - \frac { 4 } { 7 } \right)$

Evaluate. - $( - 4 ) ^ { 3 }$

Simplify the algebraic expression. - $- 8 x - 6 x$

Find -x for the given value of x. - $x = \frac { 3 } { 8 }$

Use the order of operations to simplify the expression. - $\sqrt { 8 ^ { 2 } } - | - 8 + 10 | + 3$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 2 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 2 ]$

Graph the equation. - $y = \frac { 1 } { 5 } x + 6$ $Graph the equation. - y = \frac { 1 } { 5 } x + 6$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , 6.5 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , 6.5 ]$