ELEMENTARY ALGEBRA

 

Follow order of operations to simplify the following expression:
1) 5 – 7 -2
+ (-6) + 1
Evaluate the expression using the values given for the variables. 2) m(5 – n) + m
2
; use m = -5, and n = 7
Simplify the expression. 3) -9(3 + 10n) – 6(n – 8)
Simplify the expression and write your answer as a fraction in lowest terms. 4)
(-
4
7
) –
1
2 – (-
1
8
)
Use a proportion to set up and solve the following problem. Round your answer to the nearest
tenth if necessary. 5) A 9.5 ft tall adult elephant standing next to
a bird bath casts a 26.6 ft shadow. If the
bird bath casts a shadow that is 9.2 ft long, then how tall is it?
Set up and solve an equation to answer the question below. Round your answer to the nearest
tenth of a percent if necessary. 6) 46 is what percent of 56?
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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 33 grams to 54 grams
Find the final price of the item below, given that the tax will be applied to the discounted price. 8) Original price of a book: $96.50
Discount: 55%
Tax: 5%
Use simple interest to find the ending balance, given the following values for principal, rate, and time. 9) $31,700 at 10.9% for 2 years
Solve the equation given in #10. 10) -4n + 3 = 39
Solve the equation given in #11. 11) 44 = -5(5x – 8) + 3(6x – 1)
Solve the equation given in #12. 12) 2
5
a –
1
2
a = –
2
15
Solve the equation given in #13. 13) -6.31 – 1.4n = 1 – 3.1n
Solve the inequality in #14, write its solution set in interval notation, and graph the solution set
on a number line. 14) 3x – 2 > -56
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Worksheet by Kuta Software LLC
-3-
Solve the inequality in #15, write its solution set in interval notation, and graph the solution set
on a number line. 15) -6(3b + 2) ³ 2(2b + 5)
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 draw the line through them. 17) x – 2y = 6
Write the slope-intercept form of the equation of the line through the given points. 18) through: (-5, 4) and (1, -4)
Find at least three ordered pairs that satisfy the equation and sketch the graph of the line
through them. 19) 16 = 7x + 4y
Solve the system of equations by the method of substitution. 20) y = -2x
2x + 4y = 18
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Software LLC
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Write the point-slope form of the equation of the line described. 21) through: (3, 5), parallel to y = –
7
2
x + 5
Write the slope-intercept form of the equation of the line described. 22) through: (-4, -1), perpendicular to y = –
2
3
x – 4
Solve the system by graphing both lines on one coordinate system. 23) x + 2y = 2
x – 4y = 8
Solve the system of equations by the method of elimination. 24) 10x + 11y = 9 -6x – y = -11
25) Julia and Eugene are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Julia sold 5 apple pies and 10 lemon meringue pies for a total of $245. Eugene sold 9 apple pies and 5 lemon meringue pies for a total of $194. What is the cost each of
one apple pie and one lemon meringue pie?

 

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