Session 2A Bingo

• -3

• 3

• 5

• -5

Answer explanation

To make the equation true, the left side will distribute the 6 to each of the terms inside the parenthesis: 6(2x - 5) becomes factors of 6(2x) + 6( ), so the missing factor (term) is -5.

A drone can fly 42 ft in 2 mins. At the same rate, how far can it fly in 5 mins?

• 420 ft

• 105 ft

• 21 ft

• 1,50 ft

Answer explanation

The drone flies 42 ft in 2 mins, dividing shows the unit rate of 21 ft per minute. By setting up a proportion OR by multiplying the unit rate by 5 mins, will result in 105 ft.

8 less than a number, x is at most 24.

Answer explanation

The phrase "8 less than a number", means that you will subtract 8 from x.

"Is at most 24" means the result cannot exceed 24. So the words translate to the inequality of x - 8 ≤ 24.

• 7n - 5m

• -7n - 5m

• -7n + 5m

• -7m + 5n

Answer explanation

Since the coefficient of the first binomial is "1" , it will NOT change when distributed and the parenthesis can be dropped. (5n - 3m) becomes 5n and -3m

The coefficient of the second binomial is "-1" which when distributing the negative sign results in the signs changing: - (12n + 2m) becomes -12n and -2m.

Combine like terms: 5n - 12n and -3m - 2m.

Resulting in: -7n - 5m as the final answer.

• -1

• -5

• -6

• 6

Answer explanation

To solve This inequality equation, first multiply both sides by 2: The solution set includes ALL numbers greater than -6. Since the next integer to the right on the number line is -5, it is the smallest integer greater than -6 to make this true.

• {9, 10, 11 ...}

• (10, 11, 12 ...}

• {...6, 7, 8 }

• {... 7, 8, 9 }

Answer explanation

To solve the inequality 2x - 7 ≤ 11, add 7 to both sides to get 2x ≤ 18, then divide by 2 to find x ≤ 9. The possible integer solutions are {..., 7, 8, 9}, making this the correct choice.

• -16

• -4

• -20

• 0

Answer explanation

To solve the inequality -4x - 12 > 4, first add 12 + 4 = 16. Then divide by -4: 16/-4 = -4.

*NOTE: inequality rule: when multiply or divide by a negative will switch the inequality symbol direction.

Result: x < -4. The values -4 and 0 DO NOT satisfy this condition, as -4 is not less than -4 and 0 is greater than -4.

Possible solutions less than -4 are: -16 and -20

• 19(5y - 10)

• 20y - 25

• 15 + 20y - 40

• 20y + 15 - 40

Answer explanation

The expression 15 + 4(5y - 10) simplifies as...

First distribute 4(5y) and 4(-10), getting 15 + 20y - 40.

Then combine 15 and -40, getting 20y + 25.

The option 19(5y - 10) does not match this simplification, making it the only non-equivalent expression.

• -32b + 20

• -14b - 11

• 14b - 5

• -2b + 5

Answer explanation

Simplify according to these steps:

1) Distribute: -4(2b) -4(-2) results in -8b + 8 + 6b - 3.

2) Re- Group & Combine like terms: (-8b + 6b) + (8 - 3)

Thus, the simplifying to -2b + 5, which is the correct answer.

Answer explanation

Combine like terms: (-4 - 5 + 10) = 1, 8p^2 + 5p^2 = 13p^2, -6p + 20p = 14p.

*NOTE: Proper order means highest exponent to lowest with constant at the end.

Proper expression order: 13p^2 + 14p + 1