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