Chapter 2

Algebra 1 · 598 exercises

Problem 49

Evaluate the expression. $$|-6.1|-6.01$$

2 step solution

Problem 50

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ -12 y+5 y $$

3 step solution

Problem 50

Find the sum. $$ -7+(-8)+(-9) $$

2 step solution

Problem 50

Evaluate the expression for the given value of x. $$9+x+(-8)+(-3) ; x=-12$$

3 step solution

Problem 50

Evaluate the expression. \(12-(-8)-5\)

3 step solution

Problem 50

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$(-7.39)(4.41)(-2.9)$$

2 step solution

Problem 50

Simplify the expression. $$\frac{-56+x}{-8}$$

3 step solution

Problem 50

Evaluate the expression. $$ \frac{7}{12}-\left(-\frac{3}{4}\right)+\left(-\frac{1}{8}\right) $$

3 step solution

Problem 50

Use mental math to solve the equation. $$|x|=4$$

2 step solution

Problem 51

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ -8 b-9 b $$

4 step solution

Problem 51

Find the sum. $$ -1+(-1)+(-1) $$

3 step solution

Problem 51

GAME In the game that decides the high school football championship, your team needs to gain 14 yards to score a touchdown and win. Your team's final four plays result in a 9-yard gain, a 5 -yard loss, a 4 -yard gain, and a 5 -yard gain as time runs out. Use a number line to model the gains and losses. Did your team win?

3 step solution

Problem 51

Evaluate the expression. \(20+(-17)-8\)

3 step solution

Problem 51

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$(4.67)(-8.01)(1.89)$$

3 step solution

Problem 51

Simplify the expression. $$\frac{45-5 x}{5}$$

2 step solution

Problem 51

Find the terms of the expression. $$ -4-y $$

2 step solution

Problem 51

Use mental math to solve the equation. $$|x|=0$$

2 step solution

Problem 52

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ 5-x+2 $$

3 step solution

Problem 52

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

3 step solution

Problem 52

Evaluate the expression. \(-17+25-34\)

2 step solution

Problem 52

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$(3.6)(-2.67)^{3}(-9.41)$$

4 step solution

Problem 52

Evaluate the expression for the given value(s) of the variable(s). $$\frac{x-5}{6} \text { when } x=30$$

3 step solution

Problem 52

Find the terms of the expression. $$ -x-7 $$

2 step solution

Problem 52

Use mental math to solve the equation. $$x=|-3.8|$$

2 step solution

Problem 53

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ -3+y+7 $$

3 step solution

Problem 53

Evaluate the expression. \(-6.3+4.1-9.5\)

2 step solution

Problem 53

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$(-6.3)^{2}(9.5)(4.8)$$

3 step solution

Problem 53

Evaluate the expression for the given value(s) of the variable(s). $$\frac{3 r-7}{11} \text { when } r=17$$

3 step solution

Problem 53

Find the terms of the expression. $$ -3 x+6 $$

6 step solution

Problem 53

Use mental math to solve the equation. $$|-x|=1$$

3 step solution

Problem 54

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ 4+a+a $$

3 step solution

Problem 54

You do not need to know the number of neutrons in an atom to find its total charge. Explain why not. Which property of addition supports your answer?

3 step solution

Problem 54

Evaluate the expression. \(2-11+5-(-16)\)

3 step solution

Problem 54

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$x^{3}-8.29 \text { when } x=-2.47$$

3 step solution

Problem 54

Evaluate the expression for the given value(s) of the variable(s). $$\frac{3 a-b}{a} \text { when } a=\frac{1}{3} \text { and } b=-3$$

4 step solution

Problem 54

Find the terms of the expression. \(9-28 x\)

3 step solution

Problem 55

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ 1.3 t-2.1 t $$

3 step solution

Problem 55

Find the terms of the expression. $$ -9+4 b $$

2 step solution

Problem 55

A pest control company had a profit of \(\$ 3,514.65\) in April, a profit of \(\$ 5,674.25\) in May, a loss of \(\$ 8,992.88\) in June, and a loss of \(\$ 1,207.03\) in July. Did the company make a profit during the 4 -month period? Explain.

4 step solution

Problem 55

Evaluate the expression. \(-29.4-(-8)+4\)

3 step solution

Problem 55

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$8.3+y^{3} \text { when } y=-4.6$$

3 step solution

Problem 55

Evaluate the expression for the given value(s) of the variable(s). $$\frac{15 x^{2}+10}{y} \text { when } x=-3 \text { and } y=\frac{2}{3}$$

3 step solution

Problem 56

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ \frac{7}{9} w+\left(-\frac{2}{3}\right) w $$

3 step solution

Problem 56

Find the terms of the expression. $$ a+3 b-5 $$

2 step solution

Problem 56

Evaluate the expression. \(\frac{1}{2}+\left(-\frac{4}{5}\right)-\frac{2}{3}\)

3 step solution

Problem 56

Use a calculator to evaluate the expression. Round your answer to two decimal places. $$4.7 b-\left(-b^{2}\right) \text { when } b=1.99$$

4 step solution

Problem 56

Evaluate the expression for the given value(s) of the variable(s). $$\frac{28-4 x}{y} \text { when } x=2 \text { and } y=\frac{1}{2}$$

4 step solution

Problem 56

Decide whether the statement is true or false. If it is false, give a counter example. The opposite of \(|a|\) is never positive.

3 step solution

Problem 57

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ 107 a-208 a $$

3 step solution

Problem 57

Find the terms of the expression. $$ x-y-7$$

3 step solution

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