Top 10 TExES Core Subjects EC-6 Math Practice Questions

Top 10 TExES Core Subjects EC-6 Math Practice Questions: work through realistic questions in the same format and difficulty as the real test, then check every answer against a full step-by-step solution so you can see where you lost marks and what to review next.

Start your TExES Math test prep journey right now with these sample TExES Core Subjects EC-6 Math questions.

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n of these numbers? (2, 27, 28, 19, 67, 44, 35)

A. (19)

B. (28)

C. (44)

D. (35)

8- A swimming pool holds (2,000) cubic feet of water. The swimming pool is (25) feet long and (10) feet wide. How deep is the swimming pool? ____________

9- The area of a circle is (64 π). Which of the following is the circumference of the circle?

A. (8 π)

B. (12 π)

C. (16 π)

D. (64 π)

10- What is the value of (3^6 )? ____________

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Answers:

2- D
The equation of a line in slope intercept form is: (y=mx+b)
Solve for (y).
(4x-2y=12 {Rightarrow} -2y=12-4x {Rightarrow} y=(12-4x){div}(-2) {Rightarrow} y=2x-6)
The slope of this line is (2).
The product of the slopes of two perpendicular lines is (-1).
Therefore, the slope of a line that is perpendicular to this line is:
(m_{1} {times} m_{2} = -1 {Rightarrow} 2 {times} m_{2} = -1 {Rightarrow} m_{2} = frac{-1}{2})

3- D
Use FOIL method.
((2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2)

4- D
To solve absolute values equations, write two equations.
(x-10) could be positive (3), or negative (3). Therefore,
(x-10=3 Rightarrow x=13)
(x-10=-3 Rightarrow x=7)
Find the product of solutions: ((7 times) (13 = 91))

5- C
Use PEMDAS (order of operation):
([6 {times} (- 24) + 8], (- 4) + [4 × 5] {div} 2)
([- 144 + 8], (- 4) + [20] {div} 2 =
[- 144 + 8], (- 4) + 10 )
([- 136], (- 4) + 10 = [- 136] + 4 + 10 =, 122)

6- D
Solving Systems of Equations by Elimination
Multiply the first equation by ((-2)), then add it to the second equation.
({-2(2x+5y= 11) 4x-2y=-14} {Rightarrow} {-4x-10y= -22 4x-2y=-14} {Rightarrow} {-12y= -36} {Rightarrow} {y= 3})
Plug in the value of (y) into one of the equations and solve for (x).
(2x+5(3)= 11 {Rightarrow} 2x+15= 11 {Rightarrow} 2x= -4 {Rightarrow} x= -2)

7- B
Write the numbers in order:
(2, 19, 27, 28, 35, 44, 67)
Median is the number in the middle. So, the median is (28).

8- 8
Use the formula of rectangle prism volume.
V = (length) (width) (height) ({Rightarrow}) (2000 = (25) (10) (height)) ({Rightarrow}) (height = 2000 {div}) (250 = 8)

9- C
The area of the circle is (16 π). Use the formula of areas of circles.
Area (= πr^2 ⇒ 64 π> πr^2⇒ 64 > r^2⇒ r < 8)
The radius of the circle is 8. Let’s put 8 for the radius. Now, use the circumference formula:
Circumference (=2πr=2π (8)=16π)

10- 729
(3^6 = 3 × 3 × 3 × 3 × 3 × 3 = 729)

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