Chapter 2

Algebra 1: Concepts and Skills · 593 exercises

Problem 56

What is the opposite of 5? (A) $$ \frac{1}{5} $$ (B)$$ -\frac{1}{5} $$ (C) $$ 5 $$ (D) $$ -5 $$

3 step solution

Problem 57

Simplify the expression \(2 x-3 x^{2}-x\) $$ (A)3 x-3 x^{2} $$ $$ (B)-2 x^{2} $$ $$ (C)x-3 x^{2} $$ $$ (D) 0 $$

3 step solution

Problem 57

Use mental math to solve the equation. $$ a-5=19 $$

2 step solution

Problem 57

Use the distributive property and mental math to simplify the expression. $$ 3(9.20) $$

3 step solution

Problem 57

What is the value of \(-|-2| ?\) (F)2 (G) -2 (H) |2| (D) |-2|

2 step solution

Problem 58

Determine whether the statement is true or false. Use the subtraction rule or a number line to support your answer. If you subtract a negative number from a positive number, the result is always a positive number.

3 step solution

Problem 58

Simplify the expression \(-4(y+2)-5 y\) $$ (F)-9 y-8 $$ $$ (G)-9 y-6 $$ $$ (H)-9 y+2 $$ $$ (J)-9 y+8 $$

3 step solution

Problem 58

Use mental math to solve the equation. $$ 34-n=17 $$

3 step solution

Problem 58

Use the distributive property and mental math to simplify the expression. $$ 7(5.98) $$

3 step solution

Problem 58

What is the solution of \(|x|=18 ?\) (A) 18 \((B)-18\) (C) 18 and \(-18\) (D) none of these

3 step solution

Problem 59

Determine whether the statement is true or false. Use the subtraction rule or a number line to support your answer. If you subtract a positive number from a negative number, the result is always a negative number.

3 step solution

Problem 59

Use mental math to solve the equation. $$ 2 b=10 $$

3 step solution

Problem 59

Use the distributive property and mental math to simplify the expression. $$ 2(2.90) $$

2 step solution

Problem 59

What does \(-3(6)\left(-\frac{1}{3}\right)\) equal? A) \(-6\) B) \(-2\) C) \(2\) D) \(6\)

2 step solution

Problem 59

What is the velocity of a diver who descends to the ocean floor at a rate of 3 meters per second? \begin{equation}|-3| \mathrm{m} / \mathrm{sec} \end{equation}

2 step solution

Problem 60

What does \(5-\left(-\frac{1}{3}\right)+\frac{2}{3}\) equal? A. 4 B. \(4 \frac{2}{3}\) C. \(5 \frac{1}{3}\) D. 6

3 step solution

Problem 60

Use mental math to solve the equation. $$ y \div 4=6 $$

3 step solution

Problem 60

Use the distributive property and mental math to simplify the expression. $$ 6(8.75) $$

3 step solution

Problem 60

Which of the following statements is not true? F) The product of any number and zero is zero. G) The order in which two numbers are multiplied does not matter. H) The product of any number and 1 is a negative number. J) The product of any number and 1 is the opposite of the number.

4 step solution

Problem 60

Evaluate the expression for the given value of the variable. \(x+3\) when \(x=2\)

3 step solution

Problem 60

Which inequality is true? A) \(-9>-5\) B) \(9<5\) C) \(9<-5\) D) \(-9<5\)

4 step solution

Problem 61

What does \(-x-7\) equal when \(x=-1 ?\) F. \(-8\) G. \(-6\) H. 6 J. 8

3 step solution

Problem 61

Find the sum. $$ -1+10 $$

3 step solution

Problem 61

Use mental math to solve the equation. $$ \frac{60}{x}=6 $$

3 step solution

Problem 61

Use the distributive property and mental math to simplify the expression. $$ -3(4.10) $$

3 step solution

Problem 61

Simplify the expression \(2(-4)(-x)(-x)(-x)\) A) \(-24 x\) B) \(-8 x^{3}\) C) \(8 x^{3}\) D) \(24 x\)

3 step solution

Problem 61

Evaluate the expression for the given value of the variable. \(a-7\) when \(a=10\)

3 step solution

Problem 61

Which number is less than \(-0.1 ?\) F) \(-10\) G) 0 H) 0.001 J) 10

3 step solution

Problem 62

Which of the following is not a term of the expression \(-12 x-2 y+1 ?\) A. \(-12 x\) B. \(2 y\) C. \(-2 y\) D. 1

3 step solution

Problem 62

Find the sum. $$ 8+(-4) $$

3 step solution

Problem 62

Write the sentence as an equation or an inequality. Let x represent the number. 9 is equal to a number decreased by 21.

2 step solution

Problem 62

Use the distributive property and mental math to simplify the expression. $$ -9(1.02) $$

3 step solution

Problem 62

Evaluate \(9(-x)^{2}(-2)\) when \(x=3\). F) \(-162\) G) \(-108\) H) 108 J) 162

4 step solution

Problem 62

Evaluate the expression for the given value of the variable. \(3 y\) when \(y=0\)

2 step solution

Problem 62

Which set of numbers is in increasing order? A) \(-1.9,1.8,-0.5,0,0.5\) B) \(-1,9,-0,5,0,0,5,1,8\) C) \(0,-0.5,0.5,1.8,-1.9\) D) \(-0.5,0,0.5,1.8,-1.9\)

4 step solution

Problem 63

For a correct answer on a game show, a positive amount is added to a player's score. For an incorrect answer, a negative amount is added. If a player has a score of \(-100\) and incorrectly answers a 300 point question, what is the player's new score? F. \(-400\) G. \(-200\) C. 200 D. 400

3 step solution

Problem 63

Find the sum. $$ -3+(-3) $$

2 step solution

Problem 63

Write the sentence as an equation or an inequality. Let x represent the number. The product of 2 and a number is greater than or equal to 7.

4 step solution

Problem 63

Use the distributive property and mental math to simplify the expression. $$-2(11.05)$$

3 step solution

Problem 63

Use mental math to solve the equation. \(6+c=8\)

3 step solution

Problem 63

Evaluate the expression for the given value of the variable. \begin{equation} (t)(5) \text { when } t=15 \end{equation}

3 step solution

Problem 63

Find the area of the object. The top of a computer desk measures 2 feet by 2 feet.

3 step solution

Problem 64

Evaluate the expression. $$ 9-2 \cdot 2-3 $$

3 step solution

Problem 64

Find the sum. $$ 6.5+(-3.4) $$

3 step solution

Problem 64

Write the sentence as an equation or an inequality. Let x represent the number. 3 is the quotient of a number and \(-6\)

3 step solution

Problem 64

Use the distributive property and mental math to simplify the expression. $$ -8(2.80) $$

3 step solution

Problem 64

Use mental math to solve the equation. \(x-7=4\)

3 step solution

Problem 64

Evaluate the expression for the given value of the variable. \begin{equation} \frac{z}{2} \text { when } z=8 \end{equation}

3 step solution

Problem 64

Find the area of the object. The cover of a children’s book is 4 inches long and 4 inches wide.

2 step solution

Problem 65

Find the sum. $$ -9.7+(-4.4) $$

2 step solution

Show/ page