Algebra 1 Test 13 Review

Algebra Skills

100

Simplify:
4x+7−2x+3

2x+10

200

Factor the greatest common factor:
12x³y−18x²y²

6x²y(2x−3y)

300

Multiply:
(x+5)(x−3)

x²+2x−15

400

Simplify:
square root of 72x⁷

6x³ root 2x

500

Multiply:
−3xy(2x−4y)

−6x²y+12xy²

Writing & Translating

100

Translate: Five more than twice a number is 17.

2x+5=17

200

A number decreased by 8 is at least 12.

x−8≥12

300

Write the equation of a line in point-slope form that passes through (3, -2) with slope 4.

y+2=4(x−3)

400

Write the equation of the line parallel to
y=−2x+1 that passes through (4, 3).

y=−2x+11

500

y varies directly with x.
If y = 15 when x = 3, find the equation.

y=5x

Systems of Equations

100

Solve the system:
y=x+2
y=5

(3, 5)

200

2x+y=7
2x−y=1

(2, 3)

300

The sum of two numbers is 12.
Their difference is 4.
What are the numbers?

8 and 4

400

y=3x+2
y=3x−5

No Solution

500

How many solutions?
2x+4y=6
x+2y=3

Infinitely many solutions

Percent & Number Concepts

100

A $60 jacket is on sale for 25% off.
What is the sale price?

$45

200

A $100 item is discounted 20%, then another 10%.
What is the final price?

$72

300

Find the LCM of 6, 8, and 12.

24

400

y varies inversely with x.
If y = 6 when x = 2, find the equation.

y=x/12

500

After a 30% discount, a shirt costs $56.
What was the original price?

$80

Challenge

100

Simplify:
5x−3+2x+9−x

6x+6

200

simplify √50x²

5x√2

300

Factor completely:
15x²−20x

5x(3x−4)

400

(2x−3)(x+4)

2x²+5x−12

500

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