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