Foundations for Algebra
Equations
Inequalities
Functions
Linear Functions
100
Solve (-6/7)÷(2/5)
-15/7
100
Solve the proportion 3/k=9/15
k=5
100
Solve the inequality 5+2m<-3m
m<-1 or -1>m
100
Tell whether the graph of the situation would be continuous or discrete. A ball is dropped from a second story window and bounces to a stop on the patio below.
Continuous
100
Find the x and y intercepts of 2x+5y=10
x intercept is 5 y intercept is 2
200
Solve (-3)^3
-27
200
Solve the equation -(x-4)=2x+6
x=-2/3
200
d-2< d-4
No solution
200
Evaluate the function for the given input value g(n)=-n^2-2, find g(n) when n=-3
-11
200
What is the midpoint with endpoints (-3, -7) and (-1, 1)
(-2, -3)
300
Solve |12-3*7| *(-2)
-18
300
Solve the equation 3|x-1|=18
-5, 7
300
Solve the compound inequality -4 < x+6 < 10
-10 < x < 4
300
Give the domain and range of each relation {(-2, -1) (-1, 0) (0, -1) (1, 0) (2, -1)}
D: {-2, -1, 0, 1, 2} R: {-1, 0}
300
Write the equation in slope intercept form. (1,4) and (3, 8) are on the line
y=2x+2
400
Simplify the expression -2(x^2-1)+4x^2
2x^2+2
400
40% of what number is 14
x=35
400
Solve and graph the inequality -3+r>4 OR r+1<-1
r>7 OR r<-2
400
Tell whether the relation is a function. {(1, 3) (2,2) (3,1) (4,0) (1,-1)}
No
400
Write an equation in slope-intercept form for the line that is perpendicular to the given line and that passes through the given point. y=-3x+4; (6, -2)
y=1/3x-4
500
Write all the classifications that apply to the real number. √16
Natural, Whole, Integer, Rational, and Real
500
Find the percent change from 19 to 26
37% increase
500
Solve and graph the inequity. |x+4|>8
x<-12 OR x>4
500
Find the indicated term in the arithmetic sequence. 24th term: first term=7; d=-3
-62
500
The value of y varies directly with x, and y=-8 when x=2. Find y when x=3.
-12
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