Top 10 TExES Core Subjects EC-6 Math Practice Questions

Preparing for the TExES Core Subjects Math test? The best way to prepare for your TExES Core Subjects EC-6 Math test is to work through as many TExES Math practice questions as possible. Here are the top 10 TExES Core Subjects EC-6 Math practice questions to help you review the most important TExES Math concepts. These TExES Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2022 TExES Core Subjects guidelines. Answers and full explanations are provided at the end of the post.

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

The Absolute Best Book to Ace the TExES Core Subjects EC-6 Math Test

TExES Core Subjects EC-6 Math Practice Questions

1- What is the value of the expression \((5(x-2y)+(2-x))^2 \) when \(x=3\) and \(y=-2 \)?

A. \(20\)

B. \(50\)

C. \(1156\)

D. \(36\)

2- What is the slope of a line that is perpendicular to the line
\(4x-2y=12\)?

A. \(-2\)

B. \(4\)

C. \(2\)

D. \(-\frac{1}{2}\)

3- Which of the following is equal to the expression below?
\((2x+2y)(2x-y)\)

A. \(4x^2- 2y^2\)

B. \(2x^2+6xy-2y^2\)

C. \(24x^2+2xy-2y^2\)

D. \(4x^2+2xy-2y^2\)

4- What is the product of all possible values of \(x\) in the following equation?
\(|x-10| = 3\)

A. \(3\)

B. \(7\)

C. \(13\)

D. \(91\)

5- \( [6 \times (- 24) + 8] – (-4) + [4 \times 5] \div 2 = \)?

A. \(111\)

B. \(-112\)

C. \(-122\)

D. \(-144\)

6- What is the value of \(x\) in the following system of equations?
\(2x+5y=11\)
\(4x-2y=-14\)

A. \(-1\)

B. \(1\)

C. \(4\)

D. \(-2\)

7- What is the median 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 \(3^6 \)? ____________

Best TExES Core Subjects EC-6 Math Tutor Resource for 2022

Answers:

1- D
Plug in the value of \(x\) and \(y\).
\(x=3\) and \(y=-2\)
\((5(x-2y)+(2-x))^2=(5(3-2(-2))+(2-3))^2=(5(3+4)+(-1))^2 = (34)^2=36\)

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
\(3^6 = 3 × 3 × 3 × 3 × 3 × 3 = 729\)

Looking for the best resource to help you succeed on the TExES Core Subjects EC-6 Math test?

The Best Books to Ace the TExES Core Subjects EC-6 Math Test

Related to "Top 10 TExES Core Subjects EC-6 Math Practice Questions"

Top 5 Free Websites for TExES Mathematics PreparationTop 5 Free Websites for TExES Mathematics Preparation
TExES Core Subjects Math- Test Day TipsTExES Core Subjects Math- Test Day Tips
Top 10 Tips You MUST Know to Retake the TExES Math TestTop 10 Tips You MUST Know to Retake the TExES Math Test
Top 10 Tips to Overcome TExES Core Subjects Math AnxietyTop 10 Tips to Overcome TExES Core Subjects Math Anxiety
Top 10 Tips to Create the TExES Core Subjects Math Study PlanTop 10 Tips to Create the TExES Core Subjects Math Study Plan
Overview of the TExES Core Subjects Mathematics TestOverview of the TExES Core Subjects Mathematics Test
FREE TExES Core Subjects EC-6 Core Math Practice TestFREE TExES Core Subjects EC-6 Core Math Practice Test
10 Most Common TExES Core Math Questions10 Most Common TExES Core Math Questions
TExES Core Math FREE Sample Practice QuestionsTExES Core Math FREE Sample Practice Questions
TExES Core Math Practice Test QuestionsTExES Core Math Practice Test Questions

What people say about "Top 10 TExES Core Subjects EC-6 Math Practice Questions"?

No one replied yet.

Leave a Reply