Algebra Skills
Simplify:
4x+7−2x+3
2x+10
Translate: Five more than twice a number is 17.
2x+5=17
Solve the system:
y=x+2
y=5
(3, 5)
A $60 jacket is on sale for 25% off.
What is the sale price?
$45
Simplify:
5x−3+2x+9−x
6x+6
Factor the greatest common factor:
12x3y−18x2y2
6x2y(2x−3y)
A number decreased by 8 is at least 12.
x−8≥12
2x+y=7
2x−y=1
(2, 3)
A $100 item is discounted 20%, then another 10%.
What is the final price?
$72
simplify √50x2
5x√2
Multiply:
(x+5)(x−3)
x2+2x−15
Write the equation of a line in point-slope form that passes through (3, -2) with slope 4.
y+2=4(x−3)
The sum of two numbers is 12.
Their difference is 4.
What are the numbers?
8 and 4
Find the LCM of 6, 8, and 12.
24
Factor completely:
15x2−20x
5x(3x−4)
Simplify:
square root of 72x7
6x3 root 2x
Write the equation of the line parallel to
y=−2x+1 that passes through (4, 3).
y=−2x+11
y=3x+2
y=3x−5
No Solution
y varies inversely with x.
If y = 6 when x = 2, find the equation.
y=x/12
(2x−3)(x+4)
2x2+5x−12
Multiply:
−3xy(2x−4y)
−6x2y+12xy2
y varies directly with x.
If y = 15 when x = 3, find the equation.
y=5x
How many solutions?
2x+4y=6
x+2y=3
Infinitely many solutions
After a 30% discount, a shirt costs $56.
What was the original price?
$80
Tickets to a game cost $5 for students and $8 for adults.
15 tickets were sold for $96.
How many student tickets were sold?
8 student tickets
7 adult tickets