03/25 Drill

A number multiplied by 5 is equal to 30. Which equation fits this statement?

• 30x = 5

• 5 = 30 - x

• 5x = 30

Answer explanation

A number multiplied by 5 is equal to 30. The answer is 30, and the unknown variable (x) is multiplied by 5.

So, if we write it as an algebraic equation it would be 5 x (x) = 30, or just 5x = 30.

Tags

algebra

What is the solution to this equation?

2x + 10 = 28

• 9

• 6

• 18

• 36

Answer explanation

Problem: 2x + 10 = 28

1) Subtract 10 on both sides to cancel it out.

2x + 10 -10 = 28 -10

2x = 18

2) Then, divide by 2 to cancel it out as well.

2x ÷2 = 18 ÷2

x = 9

Tags

algebra

If x = 14, which equation is true?

• 3(20 - x) = 44

• 3(12 - x) = 6

• 2(x - 3) = 22

• 2x - 3 = 22

Answer explanation

Replace x with 14 and see which equation is accurate.

The only one that is correct is 2(x - 3) = 22.

2(14 - 3) = 22

(distribute the 2 by multiplying it w/ 14 and 3)

28 - 6 = 22

22 = 22 This is correct.

Tags

algebra

A baseball team is using a pitching machine for batting practice. The table shows the number of balls the machine can pitch over time.

Which expression can be used to find the number of minutes it takes the machine to pitch p balls?

• 8p

• 9 - p

• p + 8

Answer explanation

p refers to the number of ball pitches. Our job is to figure out the relationship between the pitches (p) and the time it takes to pitch.

According to the the chart, you can see that if you divide any of p by 8, you get the time afterwards. This means that every 1 minute, the machine will pitch 8 times.

Tags

algebra

• 14

• 25

• 13

Tags

algebra

• 15, 625

• 46, 656

• 30

• 7, 776 

Tags

number & operations

Solve: l -4 l  + l -1 l

(a)  

Answer explanation

l -4 l  + l -1 l

The absolute value | x | of a real number x is the non-negative value of x without regard to its sign.

In other words, the absolute value of a number must always be a positive, real number.

The absolute value of -4 and -1 is 4 and 1. 4+1 = 5.

Tags

number & operations

Yvette uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea.

How many grams of tea leaves did Yvette use to make tea last week?

• 0.5 g

• 1, 152 g

• 72 g

• 2 g 

Tags

number & operations

Chloe is 5 feet 4 inches tall. There are 2.54 centimeters in 1 inch, and 12 inches in 1 foot.

What is Chloe’s height in centimeters?

• 56.54 cm

• 13.72 cm

• 162.56 cm

• 152.40 cm

Answer explanation

Chloe is 5ft and 4in.

1 foot = 12 inches

Convert her height into inches first, multiply 5 x 12 = 60. Then add the extra 4 inches. Chloe is 64 inches.

1 inch = 2.54 centimeters.

Now, we multiply 64 by 2.54 to find out Chloe's height in centimeters.

64 x 2.54 = 162.56cm

Tags

number & operations

Which expression is equivalent to 4(3 + 5) − 3 ⋅ 9² ?

• 14 ⋅ 81

• 17 − (27)²

• 12 + 20 − 54

• 4(8) − 3 ⋅ 81

Answer explanation

4(3 + 5) − 3 ⋅ 9²

Simplify the expression by following PEMDAS and distributing the 4 within the parenthesis, and solving 9².

4(3 + 5) - 3 x 9²

12 + 20 - 3 x 81

32 - 3 x 81

4(8) - 3 x 81 fits because 4 x 8 = 32, and in terms of PEMDAS, it matches the expression above.

Tags

number & operations