Algebra midterm review
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
