EOC Review Week 1

Linear Equation

100

y = 1/2x - 5

Identify the slope and y-intercept

slope = 1/2

y-intercept = -5

200

Write the equation of a line with a slope of 2 and y-intercept of 3.

y = 2x + 3

300

Determine the slope of a line that goes through (-1, 2) and (3, 6)

m = 1

400

What is the equation of a line with a slope of 1/3 that goes through the point (-6, 5)

y = 1/3x + 7

500

Write the equation of the line that represents the table below:

x:     0            2            4            6

y:     9           19          29           39

y = 5x + 9

Linear Inequalities

100

On the number line, should you place an open circle or closed circle for x < -1?

open circle

200

The line for y > -2x - 2 on a graph is: (1) dashed or solid and (2) shaded above the line or shaded below the line

dashed and shaded above the line

300

Solve the inequality 

 4 - x < 6

x > -2

400

Is (2, 0) a solution to 

y < 2x + 2

y > x - 2

No, 0 > 0 is not true

500

Marcus wants to spend less than 100 on a date at restaurant. The restaurant has a special where each entree is $30 and each drink is $5. Write an inequality that can be used to determine the number of entrees and drinks that Marcus and his date can order.

Let x = number of entrees and y = number of drinks

30x + 5y < 100

Quadratic Functions

100

What are the zeros of the function represented by the quadratic expression (x -2)(x+4)?

x= 2 and x= -4

200

What is vertex of the graph f(x)= x² + 6x +4

(-3, -5)

300

What are the solutions to the equation 2x² - 2x - 12 = 0?

x = -2 and x = 3

400

Name the transformation from y= x^2 to y= -2(x+2)^2

reflection across x-axis, vertical stretch by 2, and shift left by 2

500

The function f(t) = -16t² +64t + 5 models the height of a ball that was hit into the air, where t is measured in seconds and h is the height in feet. How long was the ball in the air (round the nearest second)?

4 seconds

Rational/Irrational

100

A number that can not be expressed as a fraction or quotient of two integers.

Irrational number

200

Is square root of 81 rational or irrational?

rational

300

The product of an irrational and rational number is always, sometimes, or never rational?

Never

400

Is the square root of 11 times the square root of 10, rational or irrational?

Irrational

500

Is the difference between square root of 3 and square root of 3, rational or irrational?

rational

Surprise Me

100

The vertex of a quadratic function f(x) is located at  (-3, 2). Where is the vertex of f(x) + 2 located?

(-3, 4)

200

The function h(x) describes the height in feet of a football x seconds after the football is kicked. What does the notation h(2) = 67 represent in the context?

The height of the ball is 67 feet after 2 seconds

300

What is the recursive formula for the following arithmetic sequence: 13, 9, 5, 1....

 a_n = a_(n-1) + d; a₁

, 

a_n = a_(n-1) - 4; a₁ = 13

400

The first term in an arithmetic sequence is 5. The third term is 11. What is the sixth term?

20

500

Given 2x - 3y = 15, write the equation in slope-intercept form.

y = 2/3x - 5