**Given the formula , find the value of a when s = 7, b = 13 and c = 24. **

985

2112

293

646

a = 7×7 + 3 ×13 × 24

a = 49 + 39 × 24 = 985.

One third of the candidates for a job were 25 years old or younger. Two sevenths of the candidates were at least 50 years old.
**If 84 people applied for the job, how many were between 25 and 50?**

32

28

24

33

**How many ways can 6 people sit on a bench if 3 of them have to sit side by side?**

720

5040

144

24

**Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrew's weight.**

80 pounds

120 pounds

110 pounds

90 pounds

Set up an equation equal to 360 pounds.

x + 3x = 360

4x = 360

x = 90 pounds

The formula h - 15 = 3.2t gives the height h in inches of a plant t weeks after planting.
**Which is the rate at which the plant's height is increasing?**

3.2 inches per week

15 inches per week

18.2 inches per week

48 inches per week

**Solve the given equation for x.**

14x = 84

x=4

x=6

x=-6

x=-4

14x = 84 Original equation.

**Round the number 304,059,724 to the nearest hundred thousand.**

304,059,700

304,000,000

304,059,000

304,100,000

**Reduce the given fraction to lowest terms**.

**Translate the phrase into a mathematical expression: “6 times the sum of the number n and 3”**

6n + 3n

6(n + 3)

3n + 6

3(n + 6)

**Determine k so that the point (−1, k) is a solution of y = −5x+ 3.**

k = 8

k = -3

k = 3

k = -8

Original equation.

y = −5x+ 3

Substitute: −1 for x, k for y.

k = −5(−1) + 3

Multiply: −5(−1) = 5.

k = 5 + 3

Add: 5 + 3 = 8.

k = 8

Thus, k = 8.

On his first 3 exams, Bob scored 79, 54, and 61.
**What score must Bob have on the fourth exam to come to an average of 71 for all of the four exams?**

90

95

72

79

In this case, the unknown is the score on Bob’s fourth exam. To find the average of four exam scores, sum the four scores, then divide by 4.

This last result can be simplified by summing the three known exam scores.

To isolate x, multiply both sides of the equation by 4.

x+194=284

We need to isolate x once again, so we subtract 194 from both sides of the equation.

x + 194 − 194 = 284 − 194

x = 90

At -282 feet, Death Valley is the lowest point in North America. On the entire landmass of Earth, the lowest point is on the Dead Sea shores along the Israel- Jordan border. Here, the elevation is -1,371 feet.
**So how many feet is the Dead Sea shore lower than Death Valley?**

-1,089

-1,653

1,653

1,089

To subtract, add the opposite. Add the integers.

−282 − (−1, 371) = −282 + 1, 371 = 1, 089

The Dead Sea at the Israel-Jordan border is 1,089 feet lower than Death Valley.

**Translate the phrase into a mathematical expression “4 less than 11 times the number x ”**

11x + 4

4x − 11

4x + 11

11x − 4

**Simplify the expression: 8(7x+ 8)**

120x

120

56x+ 64

64x+56

8(7x + 8) = 8(7x) + 8(8)

= 56x+ 64

**Simplify the given expression**.

-71

-186

48

18

Then we can apply the exponents and after that, subtract.

4 − 75 =

= −71

**Which of these is the greatest?**

When comparing fractions with the same denominators, the fraction with the highest value is the one with the highest numerator. In this case, it is .

**What is the floor area of a room that is 16 ft by 14 ft?**

A stack of coins has 10 nickels. Only one of the nickels is facing "heads" up.
**What is the probability that the fifth coin from the bottom is facing "tails" up?**

The six deer at the game station had weights of 45 pounds 7 ounces, 66 pounds 4 ounces, 56 pounds 12 ounces, 62 pounds 5 ounces, 64 pounds 9 ounces, and 72 pounds 3 ounces.
**What was the median weight of the deer?**

61 pounds 8 ounces

61 pounds 2 ounces

58 pounds 13 ounces

63 pounds 7 ounces

Five girls are running a 400 meter race.

Their times are 56.1 seconds, 57.8 seconds, 59.3 seconds, 60.3 seconds, and 57.4 seconds.
**Given this information, what is the average time it takes to complete a 400 meter race?**

57.23 seconds

57.8 seconds

58.64 seconds

58.18 seconds

If a factory can produce 6.
**6 meters of copper wire a minute, how many meters of wire can the factory produce in a 12 hour work day, provided the factory shuts down for a half hour lunch?**

5474 meters

4374 meters

4734 meters

4554 meters

= 11 hours and 30 minutes

= 11 hours + 30 minutes Convert the time to minutes: To calculate the length of wire produced:

The measures of two complementary angles are in the ratio of 2:6.
**What is the smallest angle?**

*x*be the smaller angle, then: The problem also talks about the ratio of the 2 angles. Ratio 2:6 can also be reduced and written as 1:3, for simplicity and ease of computing. The ratio 1:3 simply means that, if the small angle measures

*x*, the larger angle measures 3

*x*: larger angle = 3x There are now two equations for the larger angle and we can equate them.

Of the students in Kayla's class, have a pet dog. Of the students who have a dog, also have a cat.
**What fraction of the students in Kayla's class have both a cat and a dog?**

*of*means multiplication. Number of students with dogs = Number of students with cats = Number of students with cats and dogs = of students in Kayla's class

**What is the probability that your birthday would randomly match the month and day of a stranger's birth date?**

For a right triangle, one angle is .
**What are the other two angles?**

not enough information