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