Question 1

List the terms of the expression.
--4 + 3a - 7b - 5ab

Accepted Answer

A) -4, 3a, 7b, 5ab 
B) -4, -3a, -7b, -5ab 
C) -4, 3a, -7b, -5ab 
D) -4, 3a, -7b, -5, ab 
A) -4, 3a, 7b, 5ab 
B) -4, -3a, -7b, -5ab 
C) -4, 3a, -7b, -5ab 
D) -4, 3a, -7b, -5, ab

Question 2

Provide an appropriate response.
-Choose the expression that is equivalent to the following: 0 + 5b

Accepted Answer

A) 5b 
B) 0 
C) -5b 
D) 5 + b 
A) 5b 
B) 0 
C) -5b 
D) 5 + b

Question 3

Subtract.
-$\frac { 3 } { 5 } - \frac { 1 } { 15 }$

Accepted Answer

A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $\frac { 8 } { 15 }$ 
D)  $\frac { 2 } { 15 }$ 
A)  $\frac { 2 } { 3 }$ 
B)  $\frac { 1 } { 5 }$ 
C)  $\frac { 8 } { 15 }$ 
D)  $\frac { 2 } { 15 }$

Question 4

Find the reciprocal, if it exists.
--3

Accepted Answer

A)  0 
B)  $\frac { 1 } { 3 }$ 
C)  $- \frac { 1 } { 3 }$ 
D)  3 
A)  0 
B)  $\frac { 1 } { 3 }$ 
C)  $- \frac { 1 } { 3 }$ 
D)  3

Question 5

Write an inequality with the same meaning.
-$- 3 \leq x$

Accepted Answer

A)  $x \geq - 3$ 
B)  $x > - 3$ 
C)  $- 3 \geq x$ 
D)  $x \leq - 3$ 
A)  $x \geq - 3$ 
B)  $x > - 3$ 
C)  $- 3 \geq x$ 
D)  $x \leq - 3$

Question 6

Add. Do not use a number line except as a check.
-$$- \frac { 1 } { 14 } + \frac { 8 } { 21 }$$

Accepted Answer

A)  $\frac { 11 } { 21 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 13 } { 42 }$ 
D)  $\frac { 13 } { 21 }$ 
A)  $\frac { 11 } { 21 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 13 } { 42 }$ 
D)  $\frac { 13 } { 21 }$

Question 7

According to the rules for the order of operations, what should be the first step when simplifying the expression [-5 + (-9 + 3)] + (-4 + 9)?

Accepted Answer

A) find the sum of 3 and -4 
B) find the sum of -5 and -4 
C) find the sum of -9 and 3 
D) find the sum of -5 and -9 
A) find the sum of 3 and -4 
B) find the sum of -5 and -4 
C) find the sum of -9 and 3 
D) find the sum of -5 and -9

Question 8

Find the opposite, or additive inverse.
-26.7

Accepted Answer

A) 26.7 
B) -26.7 
C) $\frac { 1 } { 26.7 }$ 
D) 0 
A) 26.7 
B) -26.7 
C) $\frac { 1 } { 26.7 }$ 
D) 0

Question 9

Simplify.
-1 - 0 - 18 - (-2)+ (-19)

Accepted Answer

A) -2 
B) -34 
C) -38 
D) 36 
A) -2 
B) -34 
C) -38 
D) 36

Question 10

Insert  to write a true statement.
-

Accepted Answer

A) $- 5 > - \frac { 9 } { 5 }$ B) $- 5 < - \frac { 9 } { 5 }$ A) $- 5 > - \frac { 9 } { 5 }$ B) $- 5 < - \frac { 9 } { 5 }$

Question 11

List the terms of the expression.
-11 - 4ab - 9b

Accepted Answer

A) -11, -4, a, b, -9b 
B) 11, 4, a, b, 9 
C) 11, -4ab, -9b 
D) 11, 4ab, 9b 
A) -11, -4, a, b, -9b 
B) 11, 4, a, b, 9 
C) 11, -4ab, -9b 
D) 11, 4ab, 9b

Question 12

Solve the problem.
-Sergey averages 15 miles per gallon of gasoline in his car. How far can he travel on 19 gallons of gasoline?

Accepted Answer

A) 34 miles 
B) 285 miles 
C) 40 miles 
D) 291 miles 
A) 34 miles 
B) 285 miles 
C) 40 miles 
D) 291 miles

Question 13

Solve the problem.
-Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 45 feet below the surface. How long must Nikki's fish line be to reach the fish?

Accepted Answer

A) -23 feet 
B) 23 feet 
C) -22 feet 
D) 67 feet 
A) -23 feet 
B) 23 feet 
C) -22 feet 
D) 67 feet

Question 14

Find an equivalent expression without parentheses.
--(-9x + 10y - 13z)

Accepted Answer

A) 9x + 10y - 13z 
B) -9x + 10y - 13z 
C) 9x - 10y + 13z 
D) 9x - 10y - 13z 
A) 9x + 10y - 13z 
B) -9x + 10y - 13z 
C) 9x - 10y + 13z 
D) 9x - 10y - 13z

Question 15

Evaluate -x for the given value of x.
-x = 0.319

Accepted Answer

A) 0.319 
B) -3.1416 
C) 3.1416 
D) -0.319 
A) 0.319 
B) -3.1416 
C) 3.1416 
D) -0.319

Question 16

Add. Do not use a number line except as a check.
--5.2 + (-1.5)+ 10.4

Accepted Answer

A) -3.7 
B) -17.1 
C) 6.7 
D) 3.7 
A) -3.7 
B) -17.1 
C) 6.7 
D) 3.7

Question 17

Simplify.
-$\frac { 7 x y } { 12 x y }$

Accepted Answer

A)  $\frac { 7 x } { 12 x }$ 
B)  $\frac { 7 } { 12 }$ 
C)  $\frac { y } { 12 y }$ 
D)  $\frac { 1 } { 12 }$ 
A)  $\frac { 7 x } { 12 x }$ 
B)  $\frac { 7 } { 12 }$ 
C)  $\frac { y } { 12 y }$ 
D)  $\frac { 1 } { 12 }$

Question 18

Subtract.
-$\frac { 5 } { 6 } - \left( \frac { 9 } { 2 } \right)$

Accepted Answer

A)  $- \frac { 3 } { 11 }$ 
B)  $- \frac { 7 } { 6 }$ 
C)  $\frac { 22 } { 3 }$ 
D)  $- \frac { 11 } { 3 }$ 
A)  $- \frac { 3 } { 11 }$ 
B)  $- \frac { 7 } { 6 }$ 
C)  $\frac { 22 } { 3 }$ 
D)  $- \frac { 11 } { 3 }$

Question 19

Add. Do not use a number line except as a check.
--65 + (-29)

Accepted Answer

A) -94 
B) -36 
C) 94 
D) 36 
A) -94 
B) -36 
C) 94 
D) 36

Question 20

Divide.
-$\frac { 2.4 } { 0.08 }$

Accepted Answer

A)  $2.32$ 
B)  30 
C)  $23.2$ 
D)  $\frac { 1 } { 30 }$ 
A)  $2.32$ 
B)  30 
C)  $23.2$ 
D)  $\frac { 1 } { 30 }$

List the terms of the expression. --4 + 3a - 7b - 5ab

Provide an appropriate response. -Choose the expression that is equivalent to the following: 0 + 5b

Subtract. - $\frac { 3 } { 5 } - \frac { 1 } { 15 }$

Find the reciprocal, if it exists. --3

Write an inequality with the same meaning. - $- 3 \leq x$

Add. Do not use a number line except as a check. - $- \frac { 1 } { 14 } + \frac { 8 } { 21 }$

According to the rules for the order of operations, what should be the first step when simplifying the expression [-5 + (-9 + 3)] + (-4 + 9)?

Find the opposite, or additive inverse. -26.7

Simplify. -1 - 0 - 18 - (-2)+ (-19)

Insert < or > to write a true statement. -

List the terms of the expression. -11 - 4ab - 9b

Solve the problem. -Sergey averages 15 miles per gallon of gasoline in his car. How far can he travel on 19 gallons of gasoline?

Solve the problem. -Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 45 feet below the surface. How long must Nikki's fish line be to reach the fish?

Find an equivalent expression without parentheses. --(-9x + 10y - 13z)

Evaluate -x for the given value of x. -x = 0.319

Add. Do not use a number line except as a check. --5.2 + (-1.5)+ 10.4

Simplify. - $\frac { 7 x y } { 12 x y }$

Subtract. - $\frac { 5 } { 6 } - \left( \frac { 9 } { 2 } \right)$

Add. Do not use a number line except as a check. --65 + (-29)

Divide. - $\frac { 2.4 } { 0.08 }$

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 1: Introduction to Real Numbers and Algebraic Expressions

List the terms of the expression. --4 + 3a - 7b - 5ab

Provide an appropriate response. -Choose the expression that is equivalent to the following: 0 + 5b

Subtract. - 35−115\frac { 3 } { 5 } - \frac { 1 } { 15 }53​−151​

Find the reciprocal, if it exists. --3

Write an inequality with the same meaning. - −3≤x- 3 \leq x−3≤x

Add. Do not use a number line except as a check. - −114+821- \frac { 1 } { 14 } + \frac { 8 } { 21 }−141​+218​

According to the rules for the order of operations, what should be the first step when simplifying the expression [-5 + (-9 + 3)] + (-4 + 9)?

Find the opposite, or additive inverse. -26.7

Simplify. -1 - 0 - 18 - (-2)+ (-19)

Insert < or > to write a true statement. -

List the terms of the expression. -11 - 4ab - 9b

Solve the problem. -Sergey averages 15 miles per gallon of gasoline in his car. How far can he travel on 19 gallons of gasoline?

Solve the problem. -Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 45 feet below the surface. How long must Nikki's fish line be to reach the fish?

Find an equivalent expression without parentheses. --(-9x + 10y - 13z)

Evaluate -x for the given value of x. -x = 0.319

Add. Do not use a number line except as a check. --5.2 + (-1.5)+ 10.4

Simplify. - 7xy12xy\frac { 7 x y } { 12 x y }12xy7xy​

Subtract. - 56−(92)\frac { 5 } { 6 } - \left( \frac { 9 } { 2 } \right)65​−(29​)

Add. Do not use a number line except as a check. --65 + (-29)

Divide. - 2.40.08\frac { 2.4 } { 0.08 }0.082.4​

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Subtract. - $\frac { 3 } { 5 } - \frac { 1 } { 15 }$

Write an inequality with the same meaning. - $- 3 \leq x$

Add. Do not use a number line except as a check. - $- \frac { 1 } { 14 } + \frac { 8 } { 21 }$

Simplify. - $\frac { 7 x y } { 12 x y }$

Subtract. - $\frac { 5 } { 6 } - \left( \frac { 9 } { 2 } \right)$

Divide. - $\frac { 2.4 } { 0.08 }$