Algebra
Algebra
Word Problems
Pythagorean Theorem and Trigonometric Ratios
Solving Equations
Factoring and Expanding
100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

100
Neal ate four more than three times the number of cookies as Claire. If they ate 44 cookies together, how many cookies did Neal eat?
Neal ate 34 cookies.
100

Calculate the leg b for a right-angled triangle with leg a=4 and hypotenuse c=5.

The leg b=3.

100

2x + 6 =0

x = -3

100

Expand: (x + 2)(x + 4)

x^2 + 6x + 8

200
If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?
Austin needs to score a 98.
200
The length of the Princeton basketball court is five more than twice the width. If the perimeter of the court is 112 meters, how long is the court?
The length is 39 meters.
200

Calculate the hypotenuse of a triangle with legs a=6 and b=8.

The hypotenuse c=10.

200
2x - 18 = -3x + 27
x = 9
200

Factor: x^2 + 12x + 35

(x + 7)(x + 5)

300
If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?
The longest side is 19 cm.
300
If three consecutive even numbers have a sum of 84, what is the largest number?
The largest number is 30.
300

Name the six trigonometric ratios.

SEE TEACHER.

300
7x + 42 = -3x - 28
x = -7
300

Expand: (-2x + 5)(5x - 1)

-10x^2 + 27x - 5

400
Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?
He will pay $410.
400

Spencer, Neal, and Claire go lastertagging. Neal gets five more than two times the number of kills as Spencer. Claire gets twice as many kills as Neal. If the three of us had 92 kills altogether, how many kills did Claire get?

Claire got 54 kills.

400

If a right-angled triangle has an angle of 45 degrees and an opposite leg of 8 cm, what is the measure of the hypotenuse?

c=11.32 cm

400
(x - 5)(x + 3) = 0
x = 5 or x = -3
400

Factor: x^2 - 16x - 36

(x - 18)(x + 2)

500
Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?
42 points
500

If the average of four consecutive even numbers is 49, what are all four numbers?

46, 48, 50, 52

500

If a right-angled triangle has an angle of 30 degrees and a hypotenuse of 12 cm, what is the measure of the adjacent leg?

a= 10.39 cm

500

x^2 - 9x + 18 = 0

x = 6 or x =3

500

Factor: x^2 - x - 12

(x - 4)(x + 3)

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