Algebra 1 Semester Test Review

Evaluating & Linear Equations

100

if f(x) = x²-3x+10

what would f(4) be?

f(4) = 14

200

Solve for x: 5x - 12 = 3x + 8 

x = 10

300

Solve for x: 4(x - 2) + 6 = 22. 

x = 6

400

Solve for x: 6x + 5 = 2(3x + 2)

No solutions (parallel lines)

500

2/3x-5 = 1/4x+10

Solve for x

x = 36

Inequalities and Absolute Value

100

Solve and graph the inequality: 2x + 7 < 15.

x < 4 (open circle)

200

Solve the inequality and graph: 

3(2x-4) ge 8x +2

x le -7  (closed)

300

Solve for x: 

|x + 8| = 15

x = -23

x = 7

400

Solve for x: 

|2x - 5| = 11 

x = 8 

x = -3

500

Solve and check for extraneous solutions: 

|3x - 12| = x + 2

x = 7 and x = 5/2

Systems of Equations

100

Write a system of equations for: A total of 15 coins (nickels and dimes) equals $1.10

n + d = 15

5n + 10d = 110

200

Adult tickets are $10 and child tickets are $6. If 30 tickets were sold for $260, how many of each were sold?

A = 20 C = 10

300

At a cafe, 2 coffees and 3 muffins cost $14.50.

 4 coffees and 1 muffin cost $14.00. 

Find the price of one coffee.

c = 2.75

400

Two numbers sum to 49. The first number is 4 more than twice the second. Find both numbers

y = 15

x = 34

500

A coffee shop owner wants to make a 10-pound "House Blend" that costs $12 per pound. He mixes "Morning Roast" ($10 per pound) with "Midnight Roast" ($15 per pound). How many pounds of each does he need?

Midnight Roast = 4 

Morning roast = 6

Quadratic Functions

100

Solve for x: 

x^2-9x + 20

x = 5 

x = 4

200

Solve for x: 

2x^2-5x-3

x = 3 

x = -0.5 or -1/2

300

Find the vertex of: 

x^2 - 6x +5

(3, -4)

400

Solve by completing the square: 

x^2 + 6x -2

 

x = -3 +- sqrt11

500

Find max height and time 

y = -t^2 + 8t

Max height of 16ft at 4 seconds

Exponential Functions

100

A population of 500 triples every year. Write the exponential model:

y = a(b)^x

y = 500(3)^x

200

You deposit $5,000 into an account with 4% annual interest. How much is in the account after 8 years (round to nearest cent)?

$6842.85

300

A car worth $25,000 depreciates by 12% each year. What is its value after 5 years (round to nearest cent)?

$13193.30

400

A substance has a half-life of 4 hours. If you start with 100g, how much remains after 12 hours?

12.5 or 

25/2

500

Compare two investments: Plan A offers 5% annual interest on $2,000. Plan B offers 4.5% interest compounded semi-annually on $2,200. Which is worth more after 10 years?

Plan B is worth more by $175.33