Chapter 3

Prealgebra and Introductory Algebra · 567 exercises

Problem 43

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$b c \div(2 a)$$

3 step solution

Problem 44

Add. $$10+(-14)+(-21)+8$$

3 step solution

Problem 44

Write the given numbers in order from smallest to largest. $$11,-8,-1,7,-6$$

4 step solution

Problem 44

Identify the property that justifies the statement. $$0(-7)=0$$

3 step solution

Problem 44

What is \(-\frac{7}{12}\) minus \(\frac{7}{9} ?\)

3 step solution

Problem 44

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$a^{2}-b^{2}$$

3 step solution

Problem 45

What is 3 increased by \(-21 ?\)

3 step solution

Problem 45

Determine whether each statement is always true, never true, or sometimes true. a. A number that is to the right of the number 5 on the number line is a negative number. b. A number that is to the left of the number 3 on the number line is a negative number. c. A number that is to the right of the number \(-4\) on the number line is a negative number. d. A number that is to the left of the number \(-6\) on the number line is a negative number.

4 step solution

Problem 45

Identify the property that justifies the statement. $$1 p=p$$

3 step solution

Problem 45

What is \(-\frac{7}{12}\) more than \(-\frac{5}{9} ?\)

3 step solution

Problem 45

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$b^{2}-c^{2}$$

3 step solution

Problem 46

Find 12 plus \(-9\)

3 step solution

Problem 46

Find the opposite of the number. 22

2 step solution

Problem 46

Identify the property that justifies the statement. $$-8(-5)=-5(-8)$$

3 step solution

Problem 46

What is \(-\frac{7}{12}\) minus \(\frac{7}{9} ?\)

4 step solution

Problem 46

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$2 a-(c+a)^{2}$$

4 step solution

Problem 47

What is 16 more than \(-5 ?\)

3 step solution

Problem 47

Find the opposite of the number. $$45$$

2 step solution

Problem 47

Identify the property that justifies the statement. $$-3(9 \cdot 4)=(-3 \cdot 9) 4$$

3 step solution

Problem 47

What is \(\frac{3}{5}\) decreased by \(-\frac{7}{10} ?\)

4 step solution

Problem 47

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$(b-a)^{2}+4 c$$

4 step solution

Problem 48

What is 17 added to \(-7 ?\)

3 step solution

Problem 48

Find the opposite of the number. $$-31$$

2 step solution

Problem 48

Use the given property of multiplication to complete the statement. The Commutative Property of Multiplication \(-3(-9)=-9(?)\)

3 step solution

Problem 48

What is the sum of \(-65.47\) and \(-32.91 ?\)

2 step solution

Problem 48

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$\frac{b+c}{d}$$

3 step solution

Problem 49

Find the total of \(-3,-8,\) and 12

2 step solution

Problem 49

Find the opposite of the number. $$-88$$

2 step solution

Problem 49

Use the given property of multiplication to complete the statement. The Associative Property of Multiplication \(?(5 \cdot 10)=(-6 \cdot 5) 10\)

3 step solution

Problem 49

Find \(-138.72\) minus 510.64

3 step solution

Problem 49

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$\frac{d-b}{c}$$

3 step solution

Problem 50

Find the sum of \(5,-16,\) and \(-13\)

3 step solution

Problem 50

Use the given property of multiplication to complete the statement. The Multiplication Property of Zero \(-81 \cdot ?=0\)

2 step solution

Problem 50

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=-\frac{3}{8}, y=\frac{2}{9}$$

4 step solution

Problem 50

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$(d-a)^{2} \div 5$$

3 step solution

Problem 51

Write the sum of \(x\) and \(-7\)

2 step solution

Problem 51

Use the given property of multiplication to complete the statement. $$ \begin{aligned} &\text { The Multiplication Property of One }\\\ &?(-14)=-14 \end{aligned} $$

3 step solution

Problem 51

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=\frac{3}{10}, y=-\frac{7}{15}$$

3 step solution

Problem 51

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$(b+d)^{2}-4 a$$

5 step solution

Problem 52

Write the total of \(-a\) and \(b\)

2 step solution

Problem 52

Find the opposite of the number. $$-w$$

3 step solution

Problem 52

Evaluate the expression for the given values of the variables. \(x y,\) for \(x=-3\) and \(y=-8\)

3 step solution

Problem 52

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=-\frac{5}{8}, y=-\frac{1}{6}$$

3 step solution

Problem 52

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$(b+d)^{2}-4 a$$

5 step solution

Problem 53

Find the opposite of the number. $$-d$$

2 step solution

Problem 53

Evaluate the expression for the given values of the variables. \(-x y,\) for \(x=-3\) and \(y=-8\)

3 step solution

Problem 53

Evaluate the expression \(x+y\) for the given values of \(x\) and \(y .\) $$x=-\frac{3}{8}, y=-\frac{5}{6}$$

4 step solution

Problem 53

Evaluate the variable expression for \(a=-2, b=3, c=-1,\) and \(d=4\) $$\left|\frac{a-b}{c-d}\right|$$

5 step solution

Problem 54

Evaluate the expression for the given values of the variables. $$x(-y), \text { for } x=-3 \text { and } y=-8$$

3 step solution

Problem 54

Write the expression in words. $$-(-11)$$

4 step solution

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