Geometry Review

Solving Equations

100

x+7=15

x=8

200

3x+9=27

x=6

300

2x+7=4x+3

x=2

400

3(x−4)+5=2x+9

x=16

500

5(2x−3)−4(x+6)=3(x−7)+18

x=12

Expressions

100

3x+2x

5x

200

8x+5−3x+9

5x+14

300

4(2x+3)−5x+7

3x+19

400

5(3x−4)−2(4x+7)+6

7x−28

500

4[3(2x−5)−2(x+4)]−3[2(x−7)+5]

10x−65

Linear Algebra

100

What is the slope and y-intercept of: y=4x−7  

Slope = 4
y-intercept = -7

200

Find the slope of the line with the points (−2,1) and (3,16)

3

300

Find the equation of the line with a slope of -2 that passes through (4,5) 

y=-2x+13

400

Find the equation of the line with the points (−3,14) and (5,−10)

y=-3x+5

500

(Warning: this problem has multiple pieces of information)

Line A passes through (−6,19) and (2,−5)

Line B is parallel to line A and passes through (5,6)

What is the equation of Line B

y=-3x+21

Exponents

100

x⋅x

x²

200

x⁴⋅x³

x⁷

300

(3x²)(4x⁵)

12x⁷

400

(2x³y²)²

4x⁶y⁴

500

(3x²y³)²(2x⁴y)

18y⁷x⁸

Word Problems

100

A movie ticket costs $12. You buy 5 tickets. How much do you spend?

$60

200

A gym charges a $25 sign-up fee and $15 per month. If you spend $100 total, how many months did you pay for?

5 months

300

A taxi charges $6 to start and $4 per mile. Your total ride costs $42. How many miles did you travel?

9 miles

400

Two consecutive integers have a sum of 73. What are the two integers? Hint: x+(x+1)=73

36 & 37

500

A school sold 180 tickets to a basketball game. Student tickets cost $5 and adult tickets cost $9. The school collected $1,220. How many student tickets were sold?

100 student tickets