Chapter 2

Algebra 1 · 598 exercises

Problem 8

Tell whether the matrices can be added. $$ \left[\begin{array}{rrr} 3 & -2 & 0 \\ -4 & 1 & -8 \end{array}\right],\left[\begin{array}{cc} -4 & 5 \\ 10 & 5 \end{array}\right] $$

3 step solution

Problem 8

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ -2.4-3 $$

2 step solution

Problem 8

Graph the numbers on a number line. Then write the numbers in increasing order. $$3,-5,0$$

3 step solution

Problem 9

Find the probability of randomly choosing a red marble from the given bag of red and white marbles. Number of red marbles: 16 Total number of marbles: 64

3 step solution

Problem 9

Find the sum. $$-1+6$$

3 step solution

Problem 9

Use the distributive property to rewrite the expression without parentheses. $$ (b-6)\left(-\frac{5}{6}\right) $$

3 step solution

Problem 9

Find the reciprocal of the number. $$-2 \frac{1}{5}$$

2 step solution

Problem 9

Find the product. $$-12 \cdot(-6)$$

3 step solution

Problem 9

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ -3.6-(-6) $$

2 step solution

Problem 9

Graph the numbers on a number line. Then write the numbers in increasing order. $$2,3,-4$$

2 step solution

Problem 10

Find the probability of randomly choosing a red marble from the given bag of red and white marbles. Number of red marbles: 8 Total number of marbles: 40

3 step solution

Problem 10

Find the sum. $$-4+\frac{1}{2}$$

5 step solution

Problem 10

Find the quotient. $$7 \div \frac{1}{2}$$

3 step solution

Problem 10

Use the distributive property to rewrite the expression without parentheses. $$ -\frac{2}{3}(t-24) $$

3 step solution

Problem 10

Find the product. $$-30 \cdot 8$$

3 step solution

Problem 10

Tell whether the matrices can be added. $$ \left[\begin{array}{rrr} 8 & 5 & -8 \\ 4 & -1 & 2 \end{array}\right],\left[\begin{array}{rrr} -2 & -9 & 1 \\ -6 & 0 & 4 \end{array}\right] $$

2 step solution

Problem 10

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ \frac{1}{2}-\frac{1}{4} $$

2 step solution

Problem 10

Graph the numbers on a number line. Then write the numbers in increasing order. $$-\frac{1}{2},-\frac{3}{4}, \frac{1}{4}$$

3 step solution

Problem 11

The highest recorded temperature in Hawaii is \(100^{\circ} \mathrm{F}\). The highest recorded temperature in Colorado is \(18^{\circ} \mathrm{F}\) higher than that of Hawaii. What is the highest recorded temperature in Colorado?

3 step solution

Problem 11

Find the quotient. $$10 \div\left(-\frac{1}{5}\right)$$

3 step solution

Problem 11

Find the product. $$-5 \cdot 2 \cdot(-7)$$

2 step solution

Problem 11

Find the sum of the matrices. $$ \left[\begin{array}{rr} 3 & -2 \\ 5 & 1 \end{array}\right]+\left[\begin{array}{rr} 4 & -3 \\ -8 & -2 \end{array}\right] $$

3 step solution

Problem 11

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ \frac{2}{3}-\left(-\frac{1}{6}\right)-\frac{1}{3} $$

3 step solution

Problem 11

Graph the numbers on a number line. Then write the numbers in increasing order. $$-0.1,-1.1,-1$$

3 step solution

Problem 12

Use the distributive property and mental math to simplify the expression. $$ \begin{aligned} 9(1.95) &=9(?-2) \\ &=? \end{aligned}$$

4 step solution

Problem 12

Use a number line to find the sum. $$-8+12$$

3 step solution

Problem 12

Find the quotient. $$-12 \div 3$$

3 step solution

Problem 12

Find the product. $$-(-1)^{5}$$

2 step solution

Problem 12

Find the sum of the matrices. $$ \left[\begin{array}{rr} 4 & -1 \\ -5 & -9 \end{array}\right]+\left[\begin{array}{rr} -6 & -3 \\ 2 & -3 \end{array}\right] $$

3 step solution

Problem 12

Find the terms of the expression. $$ 12-5 x $$

6 step solution

Problem 12

Evaluate the expression. $$|-12|$$

2 step solution

Problem 13

Simplify the expression by combining like terms if possible. $$ 9 x+2 $$

2 step solution

Problem 13

Find the odds of randomly choosing the indicated letter from a bag that contains the letters in the name of the given state. S; MISSISSIPPI

3 step solution

Problem 13

Use a number line to find the sum. $$2+(-5)$$

3 step solution

Problem 13

Find the quotient. $$\frac{16}{\frac{-2}{9}}$$

3 step solution

Problem 13

Evaluate the expression. $$2(-6)(-x) \text { when } x=4$$

2 step solution

Problem 13

Find the sum of the matrices. $$ \left[\begin{array}{rrr} 1 & -2 & 2 \\ 0 & -3 & 4 \end{array}\right]+\left[\begin{array}{rrr} 3 & -4 & 5 \\ -8 & 1 & 6 \end{array}\right] $$

3 step solution

Problem 13

Find the terms of the expression. \(-7 y^{2}+12 y-6\)

3 step solution

Problem 13

Evaluate the expression. $$|4.1|$$

3 step solution

Problem 14

Use the distributive property and mental math to simplify the expression. $$ 6 x^{2}-4 x^{2} $$

3 step solution

Problem 14

Find the odds of randomly choosing the indicated letter from a bag that contains the letters in the name of the given state. N; PENNSYLVANIA

3 step solution

Problem 14

Use a number line to find the sum. $$-3+(-3)$$

4 step solution

Problem 14

Find the domain of the function \(y=\frac{x+1}{x+2}\)

4 step solution

Problem 14

Evaluate the expression. $$5(x-4) \text { when } x=-3$$

2 step solution

Problem 14

Find the sum of the matrices. $$ \left[\begin{array}{rrr} -2.4 & 1.6 & -7.8 \\ 14.3 & 1.1 & -3.9 \end{array}\right]+\left[\begin{array}{lll} -2.8 & 5.4 & 2.3 \\ -1.7 & 4.2 & 5.6 \end{array}\right] $$

3 step solution

Problem 14

Find the terms of the expression. $$ 23-5 w-8 y $$

3 step solution

Problem 14

Evaluate the expression. $$\left|-\frac{1}{5}\right|$$

3 step solution

Problem 15

Use the distributive property and mental math to simplify the expression. $$ -3 y-2 x $$

3 step solution

Problem 15

Find the odds of randomly choosing the indicated letter from a bag that contains the letters in the name of the given state. A; NEBRASKA

3 step solution

Problem 15

Use a number line to find the sum. $$-3+(-7)$$

4 step solution

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