Algebra 1 Review

Quadratics

100

Find the solutions to the following quadratic equation:

(x-5)(x+9)=0

x = 5 and x = -9

200

Find the roots to the quadratic equation:

2x²=200

x = 10 and x = -10

300

 how many solutions does this function have:

2m² + 2m − 12 = 0

 2 solutions 

400

Find the solutions to the following quadratic:

2x² − 3x − 5 = 0

x = 5/2

x = -1

500

A water balloon is catapulted into the air so that its height h, in meters, after t seconds is

 h = -4.9t² + 24.5t + 1.  What is the maximum height of the balloon?  Round to the nearest tenth.

h = 31.6 meters

Functions

100

What does the domain represent in a function.

The x values.

200

Algebra: simplify: 4(6ac - 3) + 5ac

Algebra: 29ac-12

300

Algebra: Solve for a: abc + 2h

Algebra: a = -2h/bc

400

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

500

Algebra: What's the domain of a exponential function? 

All Real Numbers

Slope Intercept/Linear Equations

100

Algebra: What is the slope-intercept of a linear equation perpendicular to y = 2/3x+9

-3/2

200

Write the following equation in slope-intercept form:  6(x + 3y) = 12

y = -1/3+2/3

300

Write an equation in point-slope form with a slope of 1/5 and passes through the point (2, -6).

y + 6 = 1/5 (x - 2)

400

Write an equation parallel to the equation y = 2x+3 and goes through the point (-8, 1) in slope-intercept form.

y = 2x+17

500

Write an equation perpendicular to y = -2x + 3 and goes through the point (6, -2) in slope-intercept form. Write fractions as a decimal.

y = 0.5x-5

Systems of Equations

100

Julia traveled to Argentina and Chile for a total of 16 days.  In Argentina, she learned 125 new words per day.  In Chile, she learned 140 new words per day.  She learned a total of 2145 words.  Write a system of equations using x for Argentina and y for Chile.

x + y = 16

125x + 140y = 2145

200

Solve the following system of equations:

6x − 12y = 24 

−x − 6y = 4

(2, -1)

300

Solve the following system of equations:

x + 7y = 0 

2x − 8y = 22

(7, -1)

400

Solve the following system of equations:

−8x − 10y = 24 

6x + 5y = 2

(7, -8)

500

If two lines intersect, then the solution to the system is:

a.  One solution

b.  Infinitely Many Solutions

c. No solution

One solution

Mystery

100

What is Mrs. Owens favorite thing for a class to be?

QUIET !  

200

The type of function that produces a 'U' shaped graph

What is quadratic

300

The number of x intercepts a linear function can have

What is one or zero

400

The formula used to find a missing side length of a right triangle.

What is the Pythagorean Theorem

500

The number of quartiles in a Box & Whisker Plot

What is 3