Math 1 Midterm Review

Unit 1: Equations/Inequalities

100

The inverse of division is called ___________.

Multiplication

200

7x + 4 = 18

x = 2

300

Erin had $35 more than Angie, who had 3 times as much money as Jacob. If they had $196 altogether, how much money did Jacob have?

$23

400

7r+21 < 5(r-3)

r < -18

500

Energy and mass are related by the formula: E = mc²

^{If m is the mass of the object and c is the speed of light, what is the equation of m, given E and c?}

m = E/c²

Unit 2: Statistics

100

How is the IQR found?

Q3-Q1

200

The two measures of center are called: ______ and ______.

Median

Mean

300

What is the best measure of center/variability for a data set with an outlier?

Median/IQR

400

Find the median: 12, 17, 8, 5

10

500

Name 3 ways to describe the shape of distribution on a graph.

Symmetric

Bell-Shaped

Skewed Right

Skewed Left

Uniform

Bimodal

Unit 3: Relations/Functions

100

In what quadrant is (5,-6) located?

Quadrant IV

200

Is this a function?

{(0,3), (5,3), (6,1)}

Yes

300

What is the domain of: (-2, 4), (-1,0), (2,3)?

{-2, -1, 2}

400

Given f(x) = 2x + 5, find f(1).

7

500

Given f(x) = -2x + 1, find f(x) = 5.

-2

Unit 4: Linear Functions

100

What is the y-intercept of the equation y = 3x - 4?

-4

200

Find the slope of a line that passes through the points: (4, -5) and (6, -5).

0

300

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

75 feet per hour

400

Identify the x-intercept for the following equation: 6x-4y = 24

(4,0)

500

Write an equation of a line that passes through the given points in point-slope form: (-2,2) and (10,8).

y-2=1/2(x+2)

Unit 5: Solving Systems

100

Sophia can spend at most $50 on clothes. Which inequality represents this situation?

x ≤ 50

200

Identify the type of line and direction would you shade this equation on a graph? 

y < 4x-4

dotted/below

300

How many solutions does this system of equations have?

8 + 8x = 11 + 8x

No Solution

400

Determine the solution to the system shown below:

x = -5

3x + 10y = 25

(-5, 4)

500

The Happy Day School decided to go on a field trip. 

• It costs $10 per adult to attend the field trip and $7 per student to attend the field trip. 
• The total cost of the field trip was $390.
• There were 54 total people (adults and students) who attended the field trip.

Let x represent the number of adults who attended the field trip and y represent the number of students who attended the field trip. Which of the following systems of equations accurately represents the situation?

10x + 7y = 390

x + y = 54