TSIA Math Skills Diagnostic Quiz

Answer explanation

To simplify the expression, combine like terms: 3x + 5x - 2x = (3 + 5 - 2)x = 6x. Thus, the correct answer is 6x.

Tags

CCSS.7.EE.A.1

Answer explanation

To solve the equation 2x - 3 = 7, add 3 to both sides to get 2x = 10. Then, divide both sides by 2 to find x = 5. Thus, the correct answer is x = 5.

Tags

CCSS.7.EE.B.4A

• A line with slope 2 and y-intercept 3

• A line with slope 3 and y-intercept 2

• A parabola opening upwards

• A horizontal line

Answer explanation

The function y = 2x + 3 is in slope-intercept form, where the slope (m) is 2 and the y-intercept (b) is 3. Therefore, the correct graph is a line with slope 2 and y-intercept 3.

What is the probability of rolling a 4 on a standard six-sided die?

Answer explanation

A standard six-sided die has 6 faces, each showing a different number from 1 to 6. The probability of rolling any specific number, including a 4, is the number of favorable outcomes (1) divided by the total outcomes (6), which is \(\frac{1}{6}\).

Find the area of a triangle with base 10 cm and height 5 cm.

• 25 cm²

• 50 cm²

• 30 cm²

• 20 cm²

Answer explanation

The area of a triangle is calculated using the formula: Area = 1/2 × base × height. Here, Area = 1/2 × 10 cm × 5 cm = 25 cm². Therefore, the correct answer is 25 cm².

Tags

CCSS.6.G.A.1

Answer explanation

To solve the system, add the equations: (x + y) + (x - y) = 10 + 2, giving 2x = 12, so x = 6. Substitute x into the first equation: 6 + y = 10, thus y = 4. The solution is x = 6, y = 4.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Answer explanation

To simplify 4(x - 2) + 3x, first distribute: 4x - 8 + 3x. Then combine like terms: 4x + 3x = 7x. So, the expression simplifies to 7x - 8, which matches the correct answer.

Tags

CCSS.6.EE.A.3

Answer explanation

To solve for x, first subtract 2x from both sides: 5x - 2x + 3 = 9. This simplifies to 3x + 3 = 9. Next, subtract 3 from both sides: 3x = 6. Finally, divide by 3: x = 2. Thus, the correct answer is x = 2.

Which of the following is a quadratic function?

Answer explanation

A quadratic function is defined by a polynomial of degree 2. The correct choice, y = x^2 + 4x + 4, contains the term x^2, making it a quadratic function. The other options are linear or rational functions.

What is the mean of the data set: 4, 8, 6, 10, 12?

• 8

• 9

• 7

• 10

Answer explanation

To find the mean, add all the numbers: 4 + 8 + 6 + 10 + 12 = 40. Then divide by the number of values (5): 40 / 5 = 8. Thus, the mean of the data set is 8.