Chapter 4
Algebra 1: Concepts and Skills · 495 exercises
Problem 43
MULTIPLE CHOICE What is the slope of the line through the points \((4,3)\) and \((11,5) ?\) $$(A) \frac{7}{2}$$ $$(B)-\frac{2}{7}$$ $$(C)\frac{2}{7}$$ $$(D)-\frac{7}{2}$$
3 step solution
Problem 43
Solve the equation. (Lesson 3.1) $$ r-(-4)=9 $$
3 step solution
Problem 43
Use a table of values to graph the equation. $$ y-5 x=-2 $$
4 step solution
Problem 43
EVALUATING EXPRESSIONS Evaluate the expression for the given value of the variable. \(-x-y\) when \(x=-2\) and \(y=-1\)
4 step solution
Problem 44
Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=4 x-6 $$
4 step solution
Problem 44
Graph the function. $$ g(x)=-4 x-5 $$
4 step solution
Problem 44
Solve the equation. (Lesson 3.3) $$ 55-5 y=9 y+27 $$
4 step solution
Problem 44
Which word describes the slope of a vertical line? (A) Zero (B) positive (C) undefined (D) negative
2 step solution
Problem 44
Solve the equation. (Lesson 3.1) $$ -8-(-c)=10 $$
3 step solution
Problem 44
USING EXPONENTS Evaluate the expression. \(x^{2}-3\) when \(x=4\)
3 step solution
Problem 44
Use a table of values to graph the equation. $$ x+y=1 $$
4 step solution
Problem 45
Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ 36 x+4 y=44 $$
3 step solution
Problem 45
Graph the function. $$ h(x)=-\frac{1}{2} x+1 $$
4 step solution
Problem 45
Solve the equation. (Lesson 3.3) $$ 7 a-3=4(a-3) $$
3 step solution
Problem 45
Solve the equation. $$ x+7=12 $$
2 step solution
Problem 45
Solve the equation. (Lesson 3.1) $$ 15-(-b)=30 $$
3 step solution
Problem 45
USING EXPONENTS Evaluate the expression. $$ 12+y^{3} \text { when } y=3 $$
3 step solution
Problem 45
Use a table of values to graph the equation. $$ 2 x+y=3 $$
4 step solution
Problem 46
Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ y=10 x+50 $$
3 step solution
Problem 46
In Exercises 46 and 47, solve the equation for y. (Lesson 3.7) $$ 15=7(x-y)+3 x $$
3 step solution
Problem 46
Solve the equation. $$ x-3=11 $$
3 step solution
Problem 46
Find the least common denominator (LCD) of each pair of fractions. Then rewrite each pair with their LCD. (Skills Review p.762). $$ \frac{2}{3}, \frac{7}{8} $$
3 step solution
Problem 46
USING EXPONENTS Evaluate the expression. $$ x^{5}+10 \text { when } x=1.5 $$
4 step solution
Problem 46
Use a table of values to graph the equation. $$ y-4 x=-1 $$
4 step solution
Problem 47
Find the slope of the graph of the linear function f. $$ f(0)=4, f(4)=0 $$
3 step solution
Problem 47
Find the x-intercepts and the y-intercepts of the line. Graph the equation. Label the points where the line crosses the axes. $$ -9 x+y=36 $$
3 step solution
Problem 47
In Exercises 46 and 47, solve the equation for y. (Lesson 3.7) $$ 3 x+12=5(x+y) $$
3 step solution
Problem 47
Solve the equation. $$ x-(-2)=6 $$
3 step solution
Problem 47
Find the least common denominator (LCD) of each pair of fractions. Then rewrite each pair with their LCD. (Skills Review p.762). $$ \frac{5}{7}, \frac{2}{3} $$
3 step solution
Problem 47
USING EXPONENTS Evaluate the expression. $$ \frac{a^{2}+b^{2}}{a-b} \text { when } a=2 \text { and } b=3 $$
3 step solution
Problem 47
Use a table of values to graph the equation. $$ x+4 y=48 $$
3 step solution
Problem 48
Find the slope of the graph of the linear function f. $$ f(-3)=-9, f(3)=9 $$
4 step solution
Problem 48
You get paid $152.25 for working 21 hours. Find your hourly rate of pay. (Lesson 3.8)
4 step solution
Problem 48
Rewrite the equation so that \(y\) is a function of \(x\). $$ 5 y=10 x-5 $$
2 step solution
Problem 48
Find the least common denominator (LCD) of each pair of fractions. Then rewrite each pair with their LCD. (Skills Review p.762). $$ \frac{1}{2}, \frac{3}{7} $$
2 step solution
Problem 48
ABSOLUTE VALUE Evaluate the expression. $$ |-2.6| $$
2 step solution
Problem 48
Use a table of values to graph the equation. $$ 5 x+5 y=25 $$
3 step solution
Problem 49
Find the slope of the graph of the linear function f. $$ f(6)=-1, f(3)=8 $$
4 step solution
Problem 49
Determine whether the graphs of the two equations are parallel lines. Explain your answer. $$line\quad a: y=-3 x+2\quad line\quad b: y+3 x=-4$$
3 step solution
Problem 49
Determine whether the ordered pair is a solution of the equation. (Lesson 4.2) $$ x-y=10,(5,-5) $$
3 step solution
Problem 49
Rewrite the equation so that \(y\) is a function of \(x\). $$ \frac{1}{3} y=\frac{2}{3} x+3 $$
2 step solution
Problem 49
Find the least common denominator (LCD) of each pair of fractions. Then rewrite each pair with their LCD. (Skills Review p.762). $$ \frac{5}{7}, \frac{4}{21} $$
3 step solution
Problem 49
ABSOLUTE VALUE Evaluate the expression. $$ |1.07| $$
2 step solution
Problem 50
Determine whether the relation is a function. If it is a function, give the domain and range. $$ (1,3),(2,6),(3,9),(4,12) $$
3 step solution
Problem 50
Determine whether the graphs of the two equations are parallel lines. Explain your answer. $$line\quad a: 2 x-12=y line\quad b: y=10+2 x$$
2 step solution
Problem 50
Determine whether the ordered pair is a solution of the equation. (Lesson 4.2) $$ 3 x-6 y=-2,(-4,-2) $$
3 step solution
Problem 50
Rewrite the equation so that \(y\) is a function of \(x\). $$ -4 x+y=11 $$
3 step solution
Problem 50
Find the least common denominator (LCD) of each pair of fractions. Then rewrite each pair with their LCD. (Skills Review p.762). $$ \frac{8}{9}, \frac{7}{12} $$
3 step solution
Problem 50
ABSOLUTE VALUE Evaluate the expression. $$ \left|\frac{9}{10}\right| $$
2 step solution
Problem 51
Determine whether the relation is a function. If it is a function, give the domain and range. $$ (-4,4),(-2,2),(0,0),(-2,-2) $$
3 step solution