Algebra Quiz

Solve for x: Abigail bought 3 apples and 5 oranges. She paid a total of 17 dollars. How much did each apple cost?

• x = 10

• x = 7

• x = 4

• x = 2

Answer explanation

To solve the equation 3x + 5 = 17, subtract 5 from both sides to get 3x = 12. Then, divide both sides by 3 to find x = 4. Therefore, the correct choice is x = 4.

What is the distributive property in algebra?

• a(b + c) = ab - ac

• a(b + c) = ab + ac

• a + b = ab + ac

• a(b - c) = ab - ac

Simplify the expression: 2(3x + 4)

• 10x + 12

• 5x + 7

• 3x + 2

• 6x + 8

Solve for y: Emma bought 2y - 8 apples and now she has 10 apples. How many apples did she buy?

• y = 5 apples

• y = 3 apples

• y = 9 apples

• y = 12 apples

Expand the expression: 4(x + 3)

• 4x + 3

• 4x + 12

• 4x^2 + 12

• 16x + 12

What is the solution to the equation 5/2x = 15?

• x = 3

• x = 5

• x = 6

• x = 10

What is the distributive law in algebraic terms?

• a(b - c) = ab - ac, and (a - b)c = ac - bc

• a(b + c) = ab - ac, and (a + b)c = ac - bc

• a(b - c) = ab + ac, and (a - b)c = ac + bc

• a(b + c) = ab + ac, and (a + b)c = ac + bc

Simplify the expression: 3(2x - 5)

• 6x + 15

• 6x - 5

• 6x + 5

• 6x - 15

Solve for x: Jackson bought 3/4 of a cake and ate 9 pieces. How many pieces of cake did he buy?

• x = 12 pieces

• x = 6 pieces

• x = 3 pieces

• x = 15 pieces

What is the process for adding algebraic fractions?

• Find the least common multiple of the denominators and add the numerators

• Subtract the numerators and simplify the resulting fraction

• Find a common denominator, add the numerators, and simplify the resulting fraction if possible.

• Multiply the denominators and add the numerators