Follow order of operations to simplify the following expression:
1)
Evaluate the expression using the values given for the variables.
2) h - j 2 - ( j - h); use h = -10, and j = -1
Simplify the expression.
3) -7(1 - 7x) - 9(2x - 3)
Simplify the expression and write your answer as a fraction in lowest terms.
4)
Use a proportion to set up and solve the following problem. Round your answer to the nearest
tenth if necessary.
5) If a 16.2 ft tall adult giraffe casts a 90.7 ft
long shadow, then how tall is a baby
giraffe that casts a 34.7 ft shadow?
Set up and solve an equation to answer the question below. Round your answer to the nearest
tenth of a percent if necessary.
6) What percent of 151 is 42?
Find the percentage change. Round to the nearest tenth of a percent if necessary and state
whether the change is an increase or a decrease.
7) From 62 tons to 26 tons
Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of a microscope: $114.50
Discount: 35%
Tax: 6%
Use simple interest to find the ending balance, given the following values for principal, rate, and time.
9) $44,300 at 6.3% for 2 years
Solve the equation given in #10.
10)
+ 5 =8
Solve the equation given in #11.
11) -5(7 p + 8) - 4(-4 p - 5) = 18
Solve the equation given in #12.
12)
Solve the equation given in #13.
13) 2.5m - 0.2 = 4.93 - 0.2m
Solve the inequality in #14, write its solution set in interval notation, and graph the solution set
on a number line.
14)
- 2 ≥ 7
Solve the inequality in #15, write its solution set in interval notation, and graph the solution set
on a number line.
15)
-2( p - 2) > 4( p - 2)
Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
16)
y
x
Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts
on a coordinate system and draw the line through them.
17)
3x + 4 y = 12
Write the slope-intercept form of the equation of the line through the given points.
18)
through: (4, -5) and (-3, 5)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line
through them.
19)
-4 y + 9x - 16 = 0
Solve the system of equations by the method of substitution.
20) y = 2x
-4x + 5 y = -6
Write the point-slope form of the equation of the line described.
21)
through: (-5, 1), parallel to y =
Write the slope-intercept form of the equation of the line described.
22)
through: (5, 2), perpendicular to y =
Solve the system by graphing both lines on one coordinate system.
23) x - y = -3
6x + y = -4
Solve the system of equations by the method of elimination.
24) 7x - 12 y = 9
10x - 6 y = 24