Algebra midterm review

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A hardware store uses a mark up rate of 40% on all it's items. The selling price for a lawnmower is $266. What was the cost to the hardware store for the lawnmower?

$190

The sale price of a leather jacket is $280, which is 30% off the rehular price. Find the regular price

$400

The sale price of a cordless phone is $43.50 which is 25% off the regular price. Find the regular price

$58

Kelly planned to put her graduation money into an account and leave it there for 4 years. She receives $750 in graduation money and she puts into an account earning 4.25%. How much will be in her account at the end of the 4 years?

$877.50

Evaluate s(t) =5/2t+1 at t=-6. Write an ordered pair that is an element of the function.

(-6,15/11)

A customer service agent for a large software company receives both an hourly wage and a commission. His hourly wage is $8.16. In an 10 hour work day, he makes $102.80. How much of his wage for the day was commission?

(8.16)(10)+C=120.80 $21.20

Simplify: 2x-3 [x-4 (2-x)]

-13x+24

Simplify: -12 (15x*2 squared*)

-180x*2 squared*

Evaluate: -|-2|

-2

Evaluate: (-5*4 squared*)•2*2 squared*

-2500

Given the function below fine f (4) f (x)=-5x-9

-29

Simplify: 2/3 (-60x)

-40x

Evaluate 5a-3b*2 squared* when a=-6 and b=2

-42

Simplify: -4 (x-7)

-4x+28

Simplify: -4 [4y-3 (y-2)]

-4y-24

Find the slope of the line that contains the points (1,-5) and (-3,23)

-7

Evaluate: (−2)*3 squared*

-8

Evaluate: −2*3 squared*

-8

Simplify: -2 (4x*2 squared*-5)

-8*2 squared* +10

Find the slope of the line that contains the points (5,-9) and (-3,-9)

0

Evaluate a-4b/2c when a=1, b=-1, and c=-5

1/2

30% of what number is 45

150

Simplify: 9a+2b-(-6a)+7b

15a+9b

Find the supplement of a 12 degree angle

168°

Simplify: 7x+(-11y)+9x

16x-11y

Find 40% of 60

24

A local bank is advertising that you can double your money in eight years if you Invest with them. Suppose you have $1,000 to invest. What rate is the bank offering?

25%

Evaluate: 10-36÷(-3*2 squared*)

27/2

Translate "The difference between three times a number and five is equal to eight times the number" into an equation and solve

3n-5=8n n=-1

Translate "four more than twice the sum of a number and one" into a variable expression and simplify

4+2 (n+1)

Evaluate: 5/8•*2 squared*

40

What percent of 90 is 36

40%

Simplify: 44x (1/11)

4x

The cost to the manager of a sporting good store for a tennis racket is $120. The selling price of the racket is $180. Find the make-up rate

50%

Find the complement of a 37 degree angle

53°

Find the additive inverse of -54

54

The perimeter of a rectangle is 44m. The length of the rectangle is 2 m less than three times the width. Find the length of the rectangle

6,16

Translate "seven decreased by the cube of x" into a variable expression

7-x3

What is 12 1/2% of 60?

7.5

Evaluate: -31+3/4*2 squared*-2 ÷ (-2) +7

8

Translate "The product of eight and the difference between two and a number" into a variable expression and simplify

8 (2-n)

Find three consecutive odd integers such that the sum of the second and third integers is three less than three times the first integer

9,11,13

Simplify: -9 (-y*2 squared*+4y-1)

9y*2 squared*-36y+9

Identify the property that justifies the statement: (2+6)+5=(6+2)+5

Commutative property of addition

Identify the domain of the relation (-1,5), (0,4), (3,6), (-2,-3), (0,7)

D={-2,-1,0,3}

S=R -rR

Discount

Identify the property that justifies the statement: 6(1)=6

Identity property of multiplication

Identify the property that justifies the starment: -3+3=0

Inverse property of addition

Identify the property that justifies the staement: 4•1/4=1

Inverse property of multiplication

Identify the property that justifies the staement: 5(0)=0

Multiplication property of 0

Solve by substitution 4x+2y=3 y=-2x+1

No solution

Is the following system of equations parallel, perpendicular or neither? y=-4x+5 -2x+8y=10

Perpendicular slopes are -4 and 1/4

Find the range of the function f (x)=-2/3x-4 given the domain {-3,0,9}

R={-2,-4,-10}

Solve: 4a+5 [1-3 (2a-1)]=2 (2a+5)

a=1/3

Solve. A=1/2bh. for b

b=2A/n

Solve. p=R-c/n. for c

c=R-pn

Identify the property that justifies the statement: 9•2=2•9

commutative property of multiplication

I=prt

interest

Find the slop and y-intercept for the graph of 12x-3y=24

m=4/2 b=-8

In an isosceles triangle, the length of one of the equal sides is three times the length of the third side. The perimeter is twenty-one. Find the number

n=3

Solve: 9n-2n=28

n=4

2(3x+4)-2=5x+14+x

no solution

|x-2|=-4

no solution

Randy wants to move his savings account to a new bank that pays better interest rate of 3.5% so that he can earn $112 in interest faster than at his old bank. If he moves $800 to the new bank, how long will it take him to earn $112 in interest?

t= 4years

Simplify: -1/2 (-2x)

x

Solve: x-3 <-4 -

x < -1 -

Solve: x+ 7/12 < -5/8

x <-29/24

Solve: 3 (4x-5)<2 (x-5)

x <1/2

Solve: -2/3 < -10 -

x< 3 -

Solve: 5=2-6x

x=-1/2

Write the equation of the line that passes through the points (-3,6) and (-3,0)

x=-3 no slope so it's a vertical line

|x+7|=3

x=-4,-10

7|x+7|-4=3

x=-6,-8

Solve: 5 (1-2x) +5=80

x=-7

Solve: x-12=-9

x=3

Solve: x-2/5=2/5

x=4/5

|3x|=7

x=7/3,-7/3

Solve. 7x-5y=-12. for y

x=7/5x+12/5

Solve: -3x <9

x>-3

Write the equation of a line parallel to 2x+4y=8 passing through the point (4,2)

y=-1/2x+4

Write the equation of the line that passes through the points (-3,9) and (1,1)

y=-2x+3

Write the equation of the line that passes through the points (2,-4) and (1,-4)

y=-4 has a 0 slope

Use the slope-intercept form to find the equation of the line that contains the point (10,-3) and has slope 3/5

y=3/5x-9

Solve: -4y+9=-7

y=4

Solve: 2y-5+6y=23+y

y=4

Is -3 a solution of y*2 squared*-1=y+11?

yes

Translate "one-half increased by the quotient of one and a number" into a variable expression

1/2 +1/n

Translate "The difference between twice the square of a number and the cube of the number" into a variable expression

2x*2 squared*-x3

Simplofy: 6(8-5x)

48-

S=C + rC

Markup

Solve. p= R-c/n. for R

R=pn+c

Solve: -5/8m=15

m=-24

Solve: 9-5n=15-2n

n=-2


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