Midterm Review Algebra 1

Arithmetic Sequences

100

Write terms 2, 3, and 4 of an arithmetic sequence where a₁ - -7 and the common difference is 12. 

5, 17, 29

200

What is the 27th term in the arithmetic sequence 43, 38, 33, 28, 23...?

Find a₂₇

-87

300

Fill in the values to makes an arithmetic sequence -4, -1, _____, 5, _____.

2 and 8

400

What does d and a₁ represent in the formula for arithmetic sequences?

a_n = d(n-1) + a₁

d= common difference

a₁ = first term in the sequence

500

Austen started working at a country club for $8.75 per hour. Every 3 months he will receive a raise of $0.50. Write an equation that can be used to calculate her hourly wage after each raise.

a_n = 0.50n + 8.75

Graphs

100

Graph -x = 1/2y -4

m=-2

b=8

200

Graph 2x = 3y + 9

m = 2/3

b = -3

300

For the graph of f(x) = 3x + 2 what are the zero(s)?

x= -2/3

400

Graph the line that has a zero slope and goes through the point (4,2).

A horizontal line that touches the y-axis at (0,2).

500

Draw a distance traveled-time graph to represent the scenario. Sam left his home and after 5 minutes he remembered he left his phone at home so he went back home and got his phone then started traveling again to Chick-fil-A then after waiting 5 minutes for his food he continued on to school.

Graph should start at 0 and go up and then flat line while he is at home getting his phone and then go up again and stop while he waits for his food and then goes up again. (It could flat line again for school arrival).

Slope

100

What is the slope of the line that passes through points (3,-2) and (3,10)?

Undefined.

200

What is the slope of the line that passes through (-3, 2) and (10, -2)?

-4/13

300

What is the slope of the line y=3?

m= 0

400

In 2002, there were 164 seniors in the graduating class. In 2017, there were 185. What is the rate of change from 2002 to 2017?

7/5

500

What is the slope of a vertical line?

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Solving Equations

100

-x + 3 = 2

x = 1

200

(b-4)/6 = b/2

b = -2

300

6 + 3t = 8t - 14

t = 4

400

5(r + 3) = 3r + 35

r = 10

500

3(x - 5) = 6x+12

x = -9

Random

100

f(x) = 3x - 5, find the value of f(-1) + 4

-4

200

Is the following relation a function?

{(1, 2), (2, 4), (4, 8), (8, 16)}

Bonus **

yes

The functions is "times 2" or y=2x.

300

m/15 = 2/5

m = 6

400

What equation can be used to represent one-half times the difference of 5 times 3x and 7 equals 4?

1/2(5*3x - 7) = 4

1/2(3x*5 - 7) = 4

500

Simplify. 4x² + 7x - 9 - 5x³ - 6x - 8x² + 2

-5x³ - 4x² + x - 7