Chapter 3

Algebra 1: Concepts and Skills · 571 exercises

Problem 65

Evaluate the expression. $$ 8+4 \div(3-1) $$

3 step solution

Problem 65

Write the sentence as an equation. The product of 5 and a number \(x\) is \(160 .\)

2 step solution

Problem 66

Subtract. $$ 3.6-0.5 $$

3 step solution

Problem 66

Evaluate the expression. \(\frac{(3-6)^{2}+6}{-5}\)

5 step solution

Problem 66

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 6 \frac{21}{40}+10 \frac{9}{40} $$

4 step solution

Problem 66

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ -6+x=-15 $$

3 step solution

Problem 66

Write the sentence as an equation. 36 decreased by a number \(k\) is \(15 .\)

3 step solution

Problem 66

Evaluate the expression. $$ 14-2 \cdot 5-3 $$

3 step solution

Problem 67

Subtract. $$ 12.44-6.02 $$

2 step solution

Problem 67

Complete the statement using \(<,>,\) or \(=\). \(\frac{1}{4} ? 0.35\)

2 step solution

Problem 67

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ x-(-6)=8 $$

3 step solution

Problem 67

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 9 \frac{12}{16}+15 \frac{13}{16} $$

3 step solution

Problem 67

Write the sentence as an equation. 36 decreased by a number \(k\) is \(15 .\)

3 step solution

Problem 67

You want to buy a pair of sneakers that costs \(\$ 49.99 .\) The state sales tax adds \(\$ 2.99\) to the total cost. If you have \(\$ 53,\) do you have enough money to buy the sneakers? (Lesson \(1.4)\)

3 step solution

Problem 68

Subtract. $$ 22.87-2.99 $$

3 step solution

Problem 68

Complete the statement using \(<,>,\) or \(=\). \(1.5 ? \frac{5}{5}\)

3 step solution

Problem 68

SOLVING EQUATIONS Solve the equation. (Lesson 3.1) $$ a-(-9)=-2 $$

4 step solution

Problem 68

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 3 \frac{8}{11}+5 \frac{3}{11} $$

5 step solution

Problem 68

Write the sentence as an equation. The quotient of a number \(y\) and 3 is 12

2 step solution

Problem 68

Find the sum. $$ 3+(-4) $$

3 step solution

Problem 69

Subtract. $$ 56.32-33.83 $$

4 step solution

Problem 69

Complete the statement using \(<,>,\) or \(=\). \(0.30 ? \frac{2}{3}\)

3 step solution

Problem 69

PHOTOGRAPHY You take 24 pictures. Six of the pictures cannot be developed because of bad lighting. Let \(x\) represent the number of pictures that can be developed successfully. Which of the following is a correct model for the situation? Solve the correct equation. (Lesson 3.1) $$ \begin{array}{lll} {\text { A. } x+6=24} & {\text { B. } 6 x=24} & {\text { C. } x-6=24} & {\text { D. } x+24=6} \end{array} $$

3 step solution

Problem 69

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 8 \frac{1}{3}+2 \frac{2}{3} $$

4 step solution

Problem 69

Use the distributive property to rewrite the expression without parentheses. $$ 4(x+2) $$

2 step solution

Problem 69

Find the sum. $$ -6+2 $$

5 step solution

Problem 70

Complete the statement using \(<,>,\) or \(=\). \(\frac{8}{5} ? 1.6\)

2 step solution

Problem 70

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 5,35 $$

3 step solution

Problem 70

Add. Write the answer as a fraction or as a mixed number in simplest form. $$ 6 \frac{7}{10}+7 \frac{5}{10} $$

5 step solution

Problem 70

Use the distributive property to rewrite the expression without parentheses. $$ 7(3-2 y) $$

3 step solution

Problem 70

Find the sum. $$ -11+(-8) $$

3 step solution

Problem 71

Complete the statement using \(<,>,\) or \(=\). \(\frac{17}{2} ? 9.5\)

3 step solution

Problem 71

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 30,40 $$

3 step solution

Problem 71

Use the distributive property to rewrite the expression without parentheses. $$ -5(y+4) $$

3 step solution

Problem 71

Find the sum. $$ 5+16+(-9) $$

2 step solution

Problem 72

Complete the statement using \(<,>,\) or \(=\). \(0 ? \frac{0}{7}\)

2 step solution

Problem 72

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 12,22 $$

3 step solution

Problem 72

Use the distributive property to rewrite the expression without parentheses. $$ (3 x+8)(-2) $$

3 step solution

Problem 72

Find the sum. $$ 8+(-7)+(-10) $$

3 step solution

Problem 73

Complete the statement using \(<,>,\) or \(=\). \(2.7 ? \frac{14}{5}\)

2 step solution

Problem 73

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 10,25 $$

3 step solution

Problem 73

Use the distributive property to rewrite the expression without parentheses. $$ -2(x-6) $$

4 step solution

Problem 73

Find the sum. $$ -22+(-5)+4 $$

2 step solution

Problem 74

Complete the statement using \(<,>,\) or \(=\). \(\frac{6}{8} ? 0.75\)

3 step solution

Problem 74

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 17,51 $$

3 step solution

Problem 74

Solve the equation. $$ 15 x=255 $$

3 step solution

Problem 74

Use the distributive property to rewrite the expression without parentheses. $$ 3(8-7 x) $$

2 step solution

Problem 75

GREATEST COMMON FACTOR Find the greatest common factor of the pair of numbers. (Skills Review p. 761 ) $$ 27,36 $$

3 step solution

Problem 75

Solve the equation. $$ 236 x=0 $$

3 step solution

Problem 75

Write the answer as a fraction or as a mixed number in simplest form. $$ \frac{2}{3} \cdot \frac{6}{7} $$

4 step solution

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