## 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?

©A e2I0h1q7g qKHurtWal zScoIfVtnwdahrGeh mL[LTCC.t y bAXlqle HrJiigxhTtfs^ LrPeFsfe`rnvCeddV.C e ]MCa^dVeP gwQiDtvhY mIDnEfUiHnliKtye`

`PTr[eJ-FABlegeeFbjrYaV. Worksheet by Kuta Software LLC

-2-

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

©O n2o0m1I7b SK]uLtUaF zS^owfktUwyaerVew MLILLCR.y r gA^l_lp _ruiNgDh_t_sQ GrTedsBeqrQv`eMdc.b g dMBaZdheS zwYiDtwh` LIlnhfSiCnli^tfeW ^Pxrbej-hA_lngyekbUr\ar.

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

©V r2C0O1x7^ SKOuRtia] eSkopfjt`w^a]rkeN WLNLBCj.U v YAolzlI RrfiZgNhRtZsE TrgexsYeMrmvtemdA.t h VMwaKdcey IwmigtqhG lIEndfhiCnQiLtleC WPMrMeF-yATlzgPebbQrRax. Worksheet by Kuta

Software LLC

-4-

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