MATH 1 EOC PRACTICE TEST ONLINE WITH SOLUTIONS

Problem 51 :

Which of the following is the graph of the function y = x² + 2x - 3?

Solution:

y =  x² + 2x - 3

y = ax² + bx + c

a = 1, b = 2 and c = -3

a > 0 (the graph opens up)

y-intercept: x = 0

y = -3

y-intercept = (0, - 3)

Axis of symmetry:

x = -b/2a

x = -2/2

x = -1

So, option (D) is correct.

Problem 52 :

Which best represents the graph of y = 2x - 2?

Solution:

y = 2x - 2

When x = 0,

y = -2

When y = 0,

x = 1

So, option (A) is correct.

Problem 53 :

Which graph best represents 2x - y < 10?

Solution:

2x - y < 10

Option A :

Taking one of the points from the shaded region, we get (6, -6)

2(6) - (-6) < 10

12 + 6 < 10

18 < 10

It is false, so option A is incorrect.

Option B :

Taking one of the points from the shaded region, we get (2, 2)

2(2) - 2 < 10

4 - 2 < 10

2 < 10

It is true, so option B is correct.

Problem 54 :

The formula below illustrates how to calculate body mass index (B), using weight (w) and height (h).

Which of the following shows this equation correctly solved for w?

Solution:

So, option (C) is correct.

Problem 55 :

What are the solutions for the quadratic equation

x² + 6x = 16?

A. {-2, -8}          B. {-2, 8}         C. {2, -8}          D. {2, 8}

Solution:

x² + 6x = 16

x² + 6x - 16 = 0

x² + 8x - 2x - 16 = 0

x(x + 8) - 2(x + 8) = 0

(x - 2)(x + 8) = 0

x = 2 and x = -8

So, option (C) is correct.

Problem 56 :

Solve 6 - 3(4x - 5) = 7.

Solution:

6 - 3(4x - 5) = 7

6 - 12x + 15 - 7 = 0

14 - 12x = 0

-12x = -14

x = -14/-12

x = 7/6

So, option (B) is correct.

Problem 57 :

Which expression represents y⁴ - 36 in simplest factored form?

A. (y² + 4)(y² - 9)              B. (y² + 4)(y - 3)(y + 3)

C. (y² + 6)(y² - 6)              D. (y⁴ - 36)(y + 1)

Solution:

= y⁴ - 36

= (y²)² - 6²

a² - b² = (a + b)(a - b)

= (y² + 6)(y² - 6)

So, option (C) is correct.

Problem 58 :

Solve x² - 7x + 10 = 28.

A. {-4, -7}           B. {-2, 9}        C. {5, 2}          D. {30, 33}

Solution:

x² - 7x + 10 = 28

x² - 7x + 10 - 28 = 0

x² - 7x - 18 = 0

x² - 9x + 2x - 18 = 0

x(x - 9) + 2(x - 9) = 0

(x + 2)(x - 9) = 0

x = -2 and x = 9

So, option (B) is correct.

Problem 59 :

Which inequality is shown on the graph below?

Solution:

y- intercept = -1

Slope m = Rise/Run

m = 1/2

Solid line shaded above (≥).

y ≥ 1/2 - 1

So, option (D) is correct.

Problem 60 :

What is the value of x in the equation: 6(4x + 5) = 3(x + 8) + 3

Solution:

6(4x + 5) = 3(x + 8) + 3

24x + 30 = 3x + 24 + 3

24x - 3x + 30 - 27 = 0

21x + 3 = 0

21x = -3

x = -3/21

x = -1/7

So, option (B) is correct.