EOC REVIEW MATH 1 WORKSHEET

Problem 1 :

For the given expression, (x - 1)(x - 3) - 5x, simplify to standard form ax² + bx + c, what is a, b and c ?

Solution

Problem 2 :

Given f(x) = x + 4, g(x) = x² - 3x + 5 and h(x) = 3^x + x

a) What is f(x) + g(x) ?

b)  what is f(2) x g(2) ?

c)  what is h(3) ?

Solution

Problem 3 :

What is the vertex of x² - 10x + 9 ? What quadrant is it in ?

Solution

Problem 4 :

Given the equations : y = 10(1.02)^x and y = 2x + 10

a) What is the rate of the exponential function ?

b) What is the starting point of the exponential function ?

c) Is the exponential function growth or decay ? why ?

d) Which function is steeper ? and why ?

Solution

Problem 5 :

What is the starting value in the equation y = 3(0.92)^x ?

a) What is the rate ?

b) What is the starting point ?

c) Is it growth or decay, why ?

Solution

Problem 6 :

a. Given the system 2x + 3y = 13 and x = 5y, what is x + y ?

b. Which quadrant does this solution lie ?

Solution

Problem 7 :

Given f(x) = x² + 20x - 18 and g(x) = 20x + 18, what is the smallest solution to f(x) = g(x) ?

Solution

Problem 8 :

Let y = 2x -10

a. If m is the x-intercept and n is the y-intercept, what is m - n?

b. If m is the x-intercept and n is the slope, what is m subtracted from n ?

Solution

Problem 9 :

If f(x) = 3x - p and f(5) = 10, what is the value of p ?

Solution

Problem 10 :

Given ((x²)³)⁴ and the expression, x^r what is r ?

Solution

Problem 11 :

Simplify 

Solution

Problem 12 :

Simplify x

Solution

Problem 13 :

Given the box and whisker plot, what is IQR (interquartile range) and median.

Solution

Problem 14 :

a. What is the area of the parallelogram ?

b. What is the perimeter of the parallelogram ?

Solution

Problem 15 :

a. Does this set of points (1, 2) and (3, 4) make up a line parallel to y = 4 + 3x, why or why not ?

b. Tell the slope of the line perpendicular to y = 4 + 3x

Solution

Problem 16 :

What is the distance between the solutions for

f(x) = x² + 14x + 49 and g(x) = 4x + 4 ?

Solution