GEOMETRY
PRE-ALGEBRA
WORD PROBLEMS
ALGEBRA 1
MIXED
100

What is the area of a right triangle with the side lengths, 7 in and 28 in? include units

98 sq in

100

5(x-2y)+(2-x)2

at (5,7)

-36

100

If a car travels 24 miles in 6 minutes. How far will the car travels in two hours?

480 miles

100

Solve for x. 

y= -x + 4 

y= -1/5x

x= 5

100

What is the probability of drawing a face card (kings, queens, and jacks) from a deck of 52 cards? Express as a fraction in simplest terms. 

3/13

200

Using the points (26,7) and (14,3), what would the coordinate of the midpoint of the line between the two be?

(20,5) 

200

Find the slope of the two points: (5,10) and (6, 14)

4

200

A salesman sold twice as much pears in the afternoon than in the morning. If he sold 360 pears that day, how many pears did he sell in morning?

120 pears 

200

Simplify the expression

m(4m- 8) + 3m3(m+4)

3m4+16m3-8m

200

A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. What was the number he chose.

2x-138=102

x=120

300

What would the area of a circle be that is inscribed in a rectangle with side lengths 8 cm and 13 cm? include units 

16π sq cm

300

f(x)=4x-2     g(x)=x2

What is f(x) multiplied by g(x)?

4x3-2x2

300

Alice has some red marbles and some black marbles in a bag. All together she has 25 marbles. Alice picks one marble from the bag. The probability Alice picks a red marble is x and the probability Alice picks a black marble is 4x. How many black marbles are in the bag?

20 Black Marbles

300

Simplify (x + 2)2 - x2

4(x+1) Note: x+ 4x + 4 - x2

300

A classroom has 25 seats. If the incoming class has 25 students, how many ways can those 25 students be seated without the students receiving the same spot twice.

25x25=625

400

Triangle, ABC, lies in Quadrant 3 and is rotated about the origin 180°, which quadrant will triangle, A'B'C', lie in?

Quadrant 1

400

3[7-(27+81)]+13

-290

400

5 hockey pucks and 3 hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?

$3.50

400

A circular pool has a diameter of 10p-6m. Write an expression for the area of the pool.

 π((10p-6m)/2)2

400

There are 18 girls and 12 boys in a class. 2/9 of the girls and 1/4 of the boys walk to school. One of the students who walks to school is chosen at random. Find the probability that the student chosen is a boy. 

3/7

500

Which two of the postulates or theorems can NOT be used to prove the congruence of two triangles?

ASA, SSA, SAS, SSS, AAS, AAA

SSA and AAA

500

evaluate: 3ab-c , where a= 7, b= 9, c= -5

194

500

Three friends Ali, Adam, and Amar together have $51. Adam has $4 less than Ali and Amar has $5 less than Ali. How much money does each friend have?

Ali: $20

Adam: $16

Amar: $15

500

A mountain climber is scaling a 300-foot cliff at a constant rate. The climber starts at the bottom at 12:00 pm. By 12:30pm, the climber has moved 62 feet up the hill. What is the rate, in feet per hour, at which he climbs?

124 feet per hour

500

What is the 12th term of the sequence?

-3, -6, -9...-108


-36

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