Math I Spring Final Review

Systems of Equations

100

How many solutions does this system have?

y=7-4x

y=-2(2x+4)

No Solutions

200

What is the x-coordinate of the solution to the system:

2x+y=13

y=2x-3

x=4

300

Which ordered pair is a solution to the inequality y>2+9x?

(4,38) (8,70) (5,45) (7,67)

(7,67)

400

Solve the system using the substitution method.

2x+2y=20

y=-3x+18

(4,6)

500

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Write a system of equations to determine t, the cost of a taco, and m, the cost of a small glass of milk.

t+m=2.15

2t+3m=5.15

Exponential Functions

100

(-5x⁶y²)²-12x¹²y⁴

13x¹²y⁴

200

Solve for x by rewriting the both sides of the equation to have the same base. 9^x-5=27

x=13/2

300

Find the y-intercept of the function. f(x)=5(2)^x

f(0)=5

400

Describe the transformations of the function. f(x)=2^(x-2)+3

Right 2, Up 3

500

The population of insects in a certain area increases each year by 12.5%. The initial population recorded was 350 insects. Write an exponential function that represents this scenario.

f(x)=350(1.125)^x

One Variable Statistics

100

Is the following data skewed left, skewed right, or symmetric? 2, 5, 8, 10, 11, 12, 13, 13, 14, 14

Skewed Left

200

Find the mean of the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14

10.2

300

Find the mode of the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14

13 and 14

400

Find the Five Number Summary for the data set. 2, 5, 8, 10, 11, 12, 13, 13, 14, 14

Minimum=2, Q1=8, Median=11.5, Q3=13, Maximum=14

500

Does the data set contain outliers? 2, 5, 8, 10, 11, 12, 13, 13, 14, 14

No Outliers: Lower Fence=0.5, Upper Fence=20.5

Two Variable Categorical Data

100

Numerical or Categorical Data: How many pets do you own?

Numerical Data

200

Numerical or Categorical Data: What is your favorite color?

Categorical Data

300

The results of a survey of students in the lunch line is written on the board. How many girls chose an orange? Is this a joint or marginal frequency?

14, Joint Frequency

400

The results of a survey of students in the lunch line is written on the board. Calculate the joint relative frequency of boys who selected an apple. (Percentage)

27.2%

500

The results of a survey of students in the lunch line is written on the board. Calculate the conditional relative frequency that a student chose a banana, given that they were a boy. (Percentage) 

43.5%

Geometry

100

Two angles that are adjacent and supplementary

Linear Pair

200

What is the midpoint of the points (4,4) and (8,10)?

(6,7)

300

B is the midpoint of segment AC. AB=3x+2 and AC=22. Find the length of segment AB.

AB=11

400

∠1 and ∠2 are vertical angles. If m∠1=10x-9 and m∠2=6x+11, find m∠1.

m∠1=41°

500

Given points X(1,2) and Y(4,-2), find the length of XY. (Calculate the distance)

5