Mathematics Quiz

What is the result of applying the properties of operations to add the expressions 5 and -(-2.75x - 7)?

• 5 - 2.75x - 7

• 5 + 2.75x + 7

• 5 - 2.75x + 7

• 5 + 2.75x - 7

Answer explanation

To add 5 and -(-2.75x - 7), we distribute the negative sign inside the parentheses to get 5 + 2.75x + 7, which simplifies to 5 + 2.75x + 7.

Which of the following expressions is equivalent to (5x - 1) - (0.06x - 4 + 0.4x)?

• 5.46x - 3

• 4.94x - 5

• 5.34x - 3

• 4.94x - 5

Answer explanation

The correct expression is obtained by simplifying (5x - 1) - (0.06x - 4 + 0.4x) to 5x - 1 - 0.06x + 4 - 0.4x, which results in 4.94x - 5.

After simplifying the expression (4 + 3/3 * x) + (1/6 * x - 3), what is the result?

• 4 + x - 3

• 4 + 4/3 * x - 3

• 4 + 4/3 * x - 3/6 * x

• 4 + 1/2 * x - 3

Answer explanation

After simplifying the expression, the result is 4 + 4/3 * x - 3, which matches the correct answer choice.

What is the simplified form of the expression (2x - 4/5 - 3x) - (-8x + 2)?

• -9x + 12/5

• -3x + 12/5

• -9x + 2/5

• -3x + 2/5

Answer explanation

To simplify the expression, combine like terms: (2x - 4/5 - 3x) - (-8x + 2) = -x - 4/5 + 8x - 2 = 7x - 14/5 = -9x + 12/5

Which of the following properties is used to write the expression -4 + (1/2)x as an equivalent expression to -(1/2)x + 8?

• Associative Property

• Distributive Property

• Commutative Property

• Inverse Property

Answer explanation

The correct property used to write the expression -4 + (1/2)x as an equivalent expression to -(1/2)x + 8 is the Commutative Property, which allows for the terms to be rearranged without changing the result.

Match the equivalent expression for 3 1/8 x - 9/10.

• 3 1/8 x - 6/3

• 3 7/8 x - 1/10

• 2 3/4 x - 4

• None of the above

Answer explanation

The correct answer is 'None of the above' because none of the provided expressions match the equivalent of 3 1/8 x - 9/10.

What is the solution to the inequality 4.2 + z ≤ -5.3?

• z ≤ -9.5

• z ≤ 9.5

• z ≥ -9.5

• z ≥ 9.5

Answer explanation

To solve the inequality, subtract 4.2 from both sides to get z ≤ -9.5. Therefore, the correct answer is z ≤ -9.5.

How should the solution to the inequality -0.125c > 0.375 be represented?

• On a number line

• With an equation

• In a paragraph

• Using a pie chart

Answer explanation

The solution to the inequality -0.125c > 0.375 should be represented on a number line to show the range of values that satisfy the inequality.

What is the exact value of x in the equation (7/9) = (2/3)x - 7?

• 10.5

• 9.5

• 11.5

• 12.5

Answer explanation

To find x, first isolate x in the equation: (7/9) = (2/3)x - 7. Then solve for x: (7/9) + 7 = (2/3)x, x = (7/9) + 7 = 10.5. Therefore, the exact value of x is 10.5.

What is the value of z in the equation 5.6(3z - 2) = 11?

• 1

• 0.5

• 1.5

• 2

Answer explanation

To find the value of z, first distribute 5.6 into the parentheses: 16.8z - 11.2 = 11. Then, isolate z by adding 11.2 to both sides and dividing by 16.8, giving z = 0.5.