Math Interim Review

Sequences

100

Constant change multiplied/divided between terms

Common Ratio

200

What type of sequence is this: 3, 5, 7, 9, 11...? 

Arithmetic 

300

Rewrite the expression using an exponent: 

15 * 15 * 15* 15

15⁴

400

Find the missing terms for the arithmetic sequence: 

7, 3, -1, __, __, -13...

-5 and -9

500

Write the explicit equation for the sequence. 

x | y

1 | 3

2 | 9

3| 27

4 | 81

5 | 243

f(n) = 3ⁿ

Linear & Exponential Functions

100

A ______ function is where change happens all at one, and when graphed, the points are not connected. 

Discrete 

200

Solve for x. 

(3/4)x = -9

X= -12

300

Which situation has the greatest rate of change: 

Riding a bike 10 miles in one hour or jogging 3 miles in 24 minutes. 

Riding a bike

400

Determine if the situation is linear, exponential, or neither. 

Joan earns a salary of $30,000 per year plus a 4.25% commission on sales. 

Exponential 

500

Find the slope of the line that passes through these two points: 

(-10,17) and (10,97)

_{*Think y2-y1/x2-x1} 

m=4

Features of Functions

100

Given h(t)=2t-5

Find h(13)

h(13)=21

200

Name the point of intersection. 

f(x)=2x-7

g(x)=-4x+5

(2,-3)

300

Find the value of x that makes the equation true. 

10=2^x-22

X=5

400

True or false: 

Arithmetic sequences are an example of linear functions. 

True

500

Your family is taking a road trip for spring break. The car is driving 78 miles per hour, and you have created the function d(t)=78t to model the progress you are making to reach your destination. If you write d(4)=78(4), what are you attempting to find? 

The number of miles the car has traveled in 4 hours. 

Systems of Equations & Inequalities

100

Solve for x. 

y=mx+b

X=y-b/m

200

Find the value that will make each ordered pair be a solution to the given equation. 

x+y=6

(2, _)

(0,_)

(_,0)

(2,4)

(0,6)

(6,0)

300

Solve the inequality. 

2(x-3)≤ 3x-2

x≥ -4

400

Rewrite the equation in standard form. 

y=(3/5)x-2

3x-5y=10

500

Determine if h=3 is a solution to 3/5 ≤ h * 1/5

Yes

Quadratics

100

Simplify 5a(-3a+13)

-15a²+65a

200

Use distributive property and combine like terms. 

7x(-5x+2)-13(-5x+2)

-35x²+79x-26

300

Multiply the two binomials. 

(x-9)(x-4)

x²-13x+36

400

Find the greatest common factor for 

17pqr and 51pqr³

17pqr

500

In quadratic functions, the first difference is linear and the second difference is __________. 

Constant