Math Quiz Revision

Write the expanded form for the following expression.

-2(y + 5x)

• 2y + 5x

• -2y - 10x

• -2y + 10x

• y + 5 x

Answer explanation

To expand -2(y + 5x), distribute -2: -2*y - 2*5x = -2y - 10x. Thus, the correct answer is -2y - 10x.

Write the expanded form for the following expression and simplify.

a(8 + 2b - 6)

• 2a + 2ba

• 8a + 2ba

• 8 + 2b - 6

• 8a + 2ba + 6a

Answer explanation

To expand a(8 + 2b - 6), distribute 'a' to each term: a*8 + a*2b - a*6 = 8a + 2ab - 6a. Combine like terms: (8a - 6a) + 2ab = 2a + 2ab. The correct choice is 2a + 2ba.

Factor the following expression using the GCF.

7zw + 49z

• 7w( z + 49z)

• z(7w + 49)

• 7(w + 7)

• 7z(w + 7)

Answer explanation

To factor 7zw + 49z, first identify the GCF, which is 7z. Factoring this out gives 7z(w + 7). Thus, the correct choice is 7z(w + 7).

The price of nails is $1.29/lb, the price of washers is $0.79/lb, and the price of bolts is $2.39/lb.

Write an expression to represents the total price of n pounds of nails, w pounds of washers, and b pound of bolts.

• 1.29 + 0.79 + 2.39

• 1.29n + 0.79w + 2.39b

• 1.29n + 0.79w + 2.39

• 0.79w + 2.39b

Answer explanation

The total price is calculated by multiplying the price per pound by the number of pounds for each item. Thus, the correct expression is 1.29n + 0.79w + 2.39b, representing nails, washers, and bolts respectively.

Subtract (7.8 - 5.1t) from (2.8 - 3.2t)

• 10.6 - 8.3t

• 5 + 1.9t

• 5 - 8.9t

• -5 + 1.9t

Answer explanation

To subtract (7.8 - 5.1t) from (2.8 - 3.2t), we calculate (2.8 - 3.2t) - (7.8 - 5.1t) = 2.8 - 3.2t - 7.8 + 5.1t = -5 + 1.9t. Thus, the correct answer is -5 + 1.9t.

Maria has a fence around her triangular garden. The first side is (y + 4) feet long. The second is 2 feet longer than the first side. The third is 3 feet less than 2 times the first side. write a simplified expressions to represent the perimeter of the garden.

• y + 4 + 3 + 2

• (y+4)+3(y+4)+2

• 4y + 15

• 15 + y

Answer explanation

To find the perimeter, add the lengths of all sides: first side = (y + 4), second side = (y + 6), third side = (2(y + 4) - 3). Simplifying gives: (y + 4) + (y + 6) + (2y + 5) = 4y + 15. Thus, the correct answer is 4y + 15.

• 0

Write an equivalent expression for the following expression using a negative factor

-2x + 8y

• (4x - 2y)

• -2(2x - 8y)

• -2(x - 4y)

• -2(-x + 4y)

Answer explanation

To rewrite -2x + 8y with a negative factor, factor out -2: -2(x - 4y). This matches the correct choice, as it simplifies the expression while maintaining equivalence.

Complete the following sentence.

The distributive property is the opposite of ............................................

• commutative

• associative

• factoring.

• Identity

Identify the coefficients and the constant in the following expression.

2x + y + 6

• Coefficients: 2 (for x), 1 (for y); Constant: 6
• Coefficients: 3 (for x), 2 (for y); Constant: 5
• Coefficients: 2 (for x), 0 (for y); Constant: 7
• Coefficients: 1 (for x), 1 (for y); Constant: 8