Chapter 4

Prealgebra · 517 exercises

Problem 1

Graph each of the following ordered pairs. $$(4,2)$$

4 step solution

Problem 1

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$x+y=2 \quad(0, \quad),(2, \quad),(-1,)$$

7 step solution

Problem 1

For each equation, complete the given ordered pairs. $$x+y=4 \quad(0,),(3,),(-2,)$$

4 step solution

Problem 1

The formula for the area \(A \text { of a rectangle with length } I \text { and width } w \text { is } A=I \cdot w . \text { Find } A \text { if: [Examples } 1-4]\) \(I=32\) feet and \(w=22\) feet

3 step solution

Problem 1

Write each of the following English phrases in symbols using the variable \(x\). The sum of \(x\) and 3

3 step solution

Problem 1

Use the distributive property to combine each of the following pairs of similar terms. $$2 x+8 x$$

4 step solution

Problem 1

Check to see if the number to the right of each of the following equations is the solution to the equation. $$2 x+1=5 ; 2$$

5 step solution

Problem 1

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$\frac{1}{4} x=2$$

5 step solution

Problem 2

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$x-y=2 \quad(1, \quad),(2,),(, 2)$$

6 step solution

Problem 2

The formula for the area \(A \text { of a rectangle with length } I \text { and width } w \text { is } A=I \cdot w . \text { Find } A \text { if: [Examples } 1-4]\) \(I=22\) feet and \(w=12\) feet

5 step solution

Problem 2

Write each of the following English phrases in symbols using the variable \(x\). The difference of \(x\) and 2

3 step solution

Problem 2

Use the distributive property to combine each of the following pairs of similar terms. $$3 x+7 x$$

4 step solution

Problem 2

Check to see if the number to the right of each of the following equations is the solution to the equation. $$4 x+3=7 ; 1$$

4 step solution

Problem 2

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$\frac{1}{3} x=7$$

5 step solution

Problem 3

Graph each of the following ordered pairs. $$(-4,2)$$

5 step solution

Problem 3

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$y=2 x-4 \quad(0, \quad),(1, \quad),(2,)$$

5 step solution

Problem 3

For each equation, complete the given ordered pairs. $$x+2 y=6 \quad(0,),(2,),(,-6)$$

3 step solution

Problem 3

The formula for the area \(A \text { of a rectangle with length } I \text { and width } w \text { is } A=I \cdot w . \text { Find } A \text { if: [Examples } 1-4]\) \(I=\frac{3}{2}\) inch and \(w=\frac{3}{4}\) inch

4 step solution

Problem 3

Write each of the following English phrases in symbols using the variable \(x\). The sum of twice \(x\) and 1

3 step solution

Problem 3

Use the distributive property to combine each of the following pairs of similar terms. $$-4 y+5 y$$

4 step solution

Problem 3

Check to see if the number to the right of each of the following equations is the solution to the equation. $$3 x+4=19 ; 5$$

4 step solution

Problem 3

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$\frac{1}{2} x=-3$$

4 step solution

Problem 4

Graph each of the following ordered pairs. $$(-4,-2)$$

5 step solution

Problem 4

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$y=-2 x+4 \quad(0,),(1,),(2,)$$

5 step solution

Problem 4

The formula for the area \(A \text { of a rectangle with length } I \text { and width } w \text { is } A=I \cdot w . \text { Find } A \text { if: [Examples } 1-4]\) \(I=\frac{3}{5}\) inch and \(w=\frac{3}{10}\) inch

4 step solution

Problem 4

Write each of the following English phrases in symbols using the variable \(x\). The sum of three times \(x\) and 4

2 step solution

Problem 4

Check to see if the number to the right of each of the following equations is the solution to the equation. $$3 x+8=14 ; 2$$

4 step solution

Problem 4

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$\frac{1}{5} x=-6$$

4 step solution

Problem 5

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$3 x+y=3 \quad(0, \quad),(, 0),(3, \quad)$$

4 step solution

Problem 5

For each equation, complete the given ordered pairs. $$4 x+3 y=12 \quad(0,),(, 0),(-3,)$$

3 step solution

Problem 5

The formula \(G=H \cdot R\) tells us how much gross pay \(G\) a person receives for working \(H\) hours at an hourly rate of pay \(R\).find \(G\). \(H=40\) hours and \(R=\$ 6\)

4 step solution

Problem 5

Write each of the following English phrases in symbols using the variable \(x\). Five \(x\) decreased by 6

3 step solution

Problem 5

Use the distributive property to combine each of the following pairs of similar terms. $$4 a-a$$

4 step solution

Problem 5

Check to see if the number to the right of each of the following equations is the solution to the equation. $$2 x-4=2 ; 4$$

4 step solution

Problem 5

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$-\frac{1}{3} x=2$$

5 step solution

Problem 5

Solve each equation using the methods shown in this section. $$2 x+4=3 x+7$$

3 step solution

Problem 6

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$x+3 y=3 \quad(0, \quad),(, 0),(-3,)$$

4 step solution

Problem 6

Graph each of the following ordered pairs. $$(-3,4)$$

5 step solution

Problem 6

For each equation, complete the given ordered pairs. $$5 x+5 y=20 \quad(0, \quad),(,-2),(1,)$$

3 step solution

Problem 6

The formula \(G=H \cdot R\) tells us how much gross pay \(G\) a person receives for working \(H\) hours at an hourly rate of pay \(R\).find \(G\). \(H=36\) hours and \(R=\$ 8\)

5 step solution

Problem 6

Write each of the following English phrases in symbols using the variable \(x\). Twice the sum of \(x\) and 5

3 step solution

Problem 6

Use the distributive property to combine each of the following pairs of similar terms. $$9 a-a$$

4 step solution

Problem 6

Check to see if the number to the right of each of the following equations is the solution to the equation. $$5 x-6=9 ; 3$$

4 step solution

Problem 6

Use the multiplication property of equality to solve each of the following equations. In each case, show all the steps. $$-\frac{1}{3} x=5$$

4 step solution

Problem 6

Solve each equation using the methods shown in this section. $$5 x+3=2 x+(-3)$$

5 step solution

Problem 7

Complete the given ordered pairs, and use the results to graph the equation. (GRAPH CANT COPY) $$3 x+4 y=12 \quad(0, \quad),(, 0),(-4,)$$

5 step solution

Problem 7

Graph each of the following ordered pairs. $$(-3,-4)$$

5 step solution

Problem 7

The formula \(G=H \cdot R\) tells us how much gross pay \(G\) a person receives for working \(H\) hours at an hourly rate of pay \(R\).find \(G\). $$H=30 \text { hours and } R=\$ 9 \frac{1}{2}$$

5 step solution

Problem 7

Write each of the following English phrases in symbols using the variable \(x\). Three times the sum of \(x\) and 1

3 step solution

Problem 7

Use the distributive property to combine each of the following pairs of similar terms. $$8(x+2)$$

4 step solution

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Chapter 4 - Prealgebra Solutions | StudyQuestionHub