Spring Break 2022 Review

Distributive Property

100

Solve for x.

6(−5x + 7) = -18

x = 2

200

Solve for x.

4(3x - 1) - 5 = 75

x = 7

300

Solve for x.

6x - 2(x - 5) =46

x = 9

400

Solve for y.

3(y-1)+2(y+3)=13

y = 2

500

Solve for x. 

4(x + 12) = 2(2x + 8) + 10

No solution

Pythagorean Theorem

100

What is the formula for the pythagorean theorem?

a² + b² = c²

200

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 6 and 8.

10

300

Triangle with leg 9 and hypotenuse 15

12

400

Is the Triangle with sides 3,6,& 8 Right?

No it is not a right triangle

500

What is always the last step to solve when working with the Pythagorean Theorem?

Take the square root 

Systems of Equations

100

Solve the systems of equations using substitution.

x = 5

x + y = 12

(5, 7)

200

Solve the systems of equations using substitution.

y = 2x

x + y = 9

(3, 6)

300

Solve the systems of equations using substitution.

y = -3x

4x - 2y = -20

(-2, 6)

400

Solve the systems of equations using substitution.

x = 3 - y

x - 3y = 23

(8 , -5)

500

Solve the systems of equations using substitution.

y = 2x

-6x + 3y = 16

No solution

Random

100

How many solutions do parallel lines have?

No Solution.

200

Lines that intersect at one point have how many solutions?

One solution

300

Lines that are the same have how many solutions?

Infinite Solutions

400

How many equations are in a system of equations?

Two or more

500

What are the three types of solutions?

One Solution

No Solution

Infinitely Many Solutions

Solving Equations

100

5h + 2 + 2h = 23

h=3

200

3b + b - 8 = 4

b=3

300

78 = 3c + 12 - c + 4

c=31

400

-2(x - 9) = -24

x=21

500

7(4 - t) = -84

t=16