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Follow order of operations to simplify the following expression:
1) (-2) - 9 +
20 ´ 2
-10
Evaluate the expression using the values given for the variables.
2) x2 + y + xy; use x = -3, and y = 5
Simplify the expression.
3) 10(-10b + 7) - 6(4b - 3)
Simplify the expression and write your answer as a fraction in lowest terms.
4) (-
7
5 ) -
3
2
+
1
2
Use a proportion to set up and solve the following problem. Round your answer to the nearest
tenth if necessary.
5) If a 6 ft tall petrified stump casts a 34.2 ft
long shadow, then how long is the shadow
that a 9.2 ft tall adult elephant casts?
Set up and solve an equation to answer the question below. Round your answer to the nearest
tenth of a percent if necessary.
6) 39 is what percent of 108?
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Worksheet by Kuta Software LLC
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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 $87.40 to $55
Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of a cell phone: $179.50
Discount: 30%
Tax: 6%
Use simple interest to find the ending balance, given the following values for principal, rate,
and time.
9) $58,000 at 9.7% for 8 years
Solve the equation given in #10.
10) -2 + 4x = 34
Sove the equation given in #11.
11) 72 = -3(8x - 1) + 3(5 + 2x)
Solve the equation given in #12.
12)
55
12
= 6x -
7
2
x
Solve the equation given in #13.
13) -6.32 + 0.9v = v - 5.9
Solve the inequality in #14, write its solution set in interval notation, and graph the solution set
on a number line.
14) 10 p + 4 < 64
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Worksheet by Kuta Software LLC
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Solve the inequality in #15, write its solution set in interval notation, and graph the solution set
on a number line.
15) -1 - (3k + 5) > 3(k - 6)
Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
16)
x
y
Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts
on a coordinate system and drawn the line through them.
17) x - 3 y = -3
Write the slope-intercept form of the equation of the line through the given points.
18) through: (-2, -1) and (4, -5)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line
through them.
19) -2 = x - 2 y
Solve the system of equations by the method of substitution.
20) -4x + 3 y = -11
y = 5x
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Worksheet by Kuta Software LLC
-4-
Write the point-slope form of the equation of the line described.
21) through: (5, -4), parallel to y = -
6
5
x - 1
Write the slope-intercept form of the equation of the line described.
22) through: (-5, -1), perpendicular to y =
5
4
x + 3
Solve the system by graphing both lines on one coordinate system.
23) 3x - y = -4
4x + y = -3
Solve the system of equations by the method of elimination.
24) 16x + 6 y = 4
8x - 2 y = 12
25) Kathryn and Shayna are selling pies for a school fundraiser. Customers can buy apple pies and
pumpkin pies. Kathryn sold 3 apple pies and 13 pumpkin pies for a total of $164. Shayna sold 9
apple pies and 5 pumpkin pies for a total of $118. Find the cost each of one apple pie and one
pumpkin pie