Expressions
Simplify the following:
7(m-3) + 4(m+5)
9x-4x+5
Check Answer; pg. 14
Graph the following equation:
y+3x+1
Check Answer; pg. 77
Solve for x. Then find the length of each side of the figure.
(Go to the google doc for the shape)
Check answer; pg.22
The bill for the repair of your bicycle was $180. The cost of parts was $105. The cost of labor was $25 per hour. How many hours did the repair take?
Check Answer; pg. 23
Use the formula d=rt to solve for the missing variable:
d=20mi, r=40mi/h, t=?
d=?, r=30mi/h, t=3h
Check Answer; pg 37
Solve for y, then find the value of y for the given value x:
6x+5y+31; x=-4
8y-14x=-22; x=5
Check Answer; pg. 30
Tell whether the lines are parallel, perpendicular, or neither:
Line 1: through (1,5) and (3,-2)
Line 2: through (-3,2) and (4,0)
Check Answer: pg. 86
What equation would you use to find the area of a triangle and the area of a rectangle (two different equations)
Check Answer; pg. 27
An escalator in an airport rises 28 feet over a horizontal distance of 48 feet. What is the slope of the escalator?
Check Answer; pg. 87
Look for a pattern and write an equation that represents the table:
x: 0,1,2,3
y: 11,15,19,23
Check Answer; pg 37
Solve the Equations:
|2d-5|=13
|7h-10|=4
Check Answer; pg. 55
Graph the Equations:
y=4x-1
f(x)=-1/2x-1
Check Answer; pg. 93
Write and solve an equation to find x.
(Check the google doc for the shape)
Check Answer; pg. 37
You have a $20 phone card. Calls made using the card cost $.03 per minute to destinations within the United States and $.06 per minute to destinations in Brazil. Write an inequality describing the numbers of minutes you can use calls to U.S. destinations and to Brazil.
Check Answer; pg. 137
Graph the compound inequalities:
-3<x<4
x>-2 or x<-5
Check Answer; pg. 45
Tell whether the given ordered pairs are solutions of the inequality:
x>-7; (0,10), (-8,-5)
2x-y<3; (0,0), (2,-2)
Check Answer; pg. 135
Multiple Choice*
Which equation best models the data in the scatter plot? (Go to the Google Doc for the graph)
A; y=15
B; y= -1/2x +26
C; y= -2/5x+19
D; y= -4/5x +33
Check Answer; pg. 118
The formula V=1/3(pi)r2h gives the volume V ofa cone with the height h and base radius r. Solve the formula for h. Then find h when r=2 inches and V=45 cubic inches.
(Hint: Draw the shape as a visual)
Check Answer; pg. 65
In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479 each, and acoustic guitars sold for 339 each. How many of each type of guitar were sold?
Check Answer; pg. 165
Solve the system using any algebraic method:
x+5y-2z=-1
-x-2y+z=6
-2x-7y+3z=7
Check Answer; pg. 183
Perform the Indicated operation, if possible. If not, state why.
|5 2| + |-8 10|
|-1 8| |-6 3|
Check Answer: pg. 191
Graph the linear system and estimate the solution. Then check the solution algebraically.
y= -3x-2
5x+2y=-2
Check Answer; pg. 156
The volume V of a sphere with radius r is given by the function V(r)=4/3(pi)r3. Find V(6).
Check Answer; pg. 78
Charles's Law states that when pressure is constant, the volume V of a gas varies directly with its temperature T (in kelvins). A gas occupies 4.8 liters at a temperature of 300 kelvins. Write an equation that gives V as a function of T. What is the volume of the gas when the temperature is 420 kelvins?
Check Answer; pg. 143
Evaluate the determinant of the matrix:
|-1 12 4|
|0 2 -5|
|3 0 1|
Check Answer; pg. 207