Download Chapter-by-Chapter Examples for EOC Exam CHAPTER 1 Evaluate

Chapter-by-Chapter Examples for EOC Exam
CHAPTER 1

Evaluate ab + c for a = 2, b = -3, c = 4

Write an expression for: six less than twice A

Simplify 7 + 3(x + 4)

Simplify 5x + 2y + 3x2 + 7x

A plant’s growth is measured every day for 2 weeks. Identify the dependent and independent
variables.
Simplify 1) -5 –(-20)
2) -13 + 50
3) (-7)(-9)
4) (-18)(2)
Label as Rational or Irrational
5/3
2.2525..
√5
√9
п
1.25
1.321576…


2
CHAPTER 2

Solve x – 12 = -3

Solve 3x – 5 = 17

Solve 4x + 7 = -3x + 9

Mark is renting a car and pays $50 plus $.25 per mile. Write an equation for the cost, c, of rental
with m miles.

CHAPTER 3
Solve and graph on the number line: - 3x – 12 > 6

Graph on the coordinate plane: y < -1/4 x + 5

Identify the domain and range
X
Y
X
Y
2
3
4
4
5
2
3
4
4
5
CHAPTER 4
X
0
1
2
3
4
5
Y
6
8
10
12
2
4

Which of the above function mappings matches {(2,4),(3,4),(3,5),(4,5)}

Evaluate f(x) = x2 – 2x for x = 5

Does each of the following tables represent a function? If yes, is it a linear function?
(1)
X
0
1
0
2
Y
4
5
6
7
(2)
X
-2
-1
0
1
2
Y
4
1
0
1
4
(3)
X
0
1
2
3
4
Y
5
7
9
11
13

CHAPTER 5
Describe what a positive association looks like. Describe what a positive association means.

What does a line-of-fit (or a trend line) look like?

How do you know if an equation represents a function with direct variation? What will these
equations look like on the graph?

How do you use the graph of a line to find the slope of a line?

Find the slope in the equation y = -3x + 5

Find the slope in the equation 4x – 3y = 12

Consider the equation y = 2x. What would happen when you double the slope?

Consider the equation y = x + 3. What would happen to the graph if you add 2 to the y-intercept?

Write the equation of the line with slope of ½ and y-intercept of 5.

Write the equation of a line that passes through (1,4) with a slope of 3.

What is the point-slope form for an equation? What is it used for?

What is slope-intercept form?

Arrange 3x + 7y – 10 = 0 into slope-intercept form.

Which lines are parallel? Which lines are perpendicular?
y = 2x – 5
y=½x+1
y = 2x + 3

Graph using slope and y-intercept:
y = 3x + 2
y=-½x+6
y = -3/4x – 1
CHAPTER 6

Solve by substitution: y = -x – 2
3x + y = 12

Solve by addition:

Write and solve a system: One number added to three times another number is 24. Five times the
first number added to three times the other number is 36. Find the numbers.
7x + 2y = 2
7x – 2y = -30
CHAPTER 7

Simplify

Simplify
ab
ab8
5x2y5 • -3x7y

Simplify
(-3x3y6z3)4
5 3
CHAPTER 8

Multiply
x4y(5x2 + 3x – 1)

Multiply
(x + 5)(2x – 3)

Multiply
(x – 7)(x + 7)

Multiply
(x2 + 3x – 4)(x + 1)

Factor
15cd + 30c2d3

Factor
y2 + 4y – 60

Factor
3x2 + 8x + 4

Factor
49a2 – 64

Factor
y2 – 10y + 25
CHAPTER 9

Solve for x:
x2 – 36 = 0

Solve for n:
15n2 – n = 2

Solve for x:
x2 + 17x + 42 = 0

Memorize Standard Form for a Quadratic Equation: ax2 + bx + c = 0

Graph y = x2 – 4

Memorize the Quadratic Formula:
x = -b ± √b2 – 4ac
2a
CHAPTER 10

Can 7,10,12 form a right triangle?

Find the missing side of the right triangle if b = 14 and c = 21.

Solve √(x+2) = 12
CHAPTER 11
 Simplify:
6a4 + 3a3 – 7a
a
 Simplify:
8x5 + 6x9
2x