GEOMETRY
PRE-ALGEBRA
WORD PROBLEMS
ALGEBRA 1
MIXED
100
What is the area of a right triangle where the base is 8 in and height is 54 in? include units.
216 in2
100
evaluate:
5(x-2y)+(2-x)
at (6,9)
-64
100
A salesman sold twice as many 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
100
Solve for x.
y= -x + 4
y= -1/2x
x= 8
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
If a car travels 24 miles in 6 minutes. How far will the car travels in two hours?
480 miles
200
Simplify the expression
m(4m2 - 8) + 3m3(m+4)
3m4+16m3-8m
200
A student chose a number, multiplied it by 4, then subtracted 138 from it and got 102. What was the number he chose.
60
300
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
300
f(x)=4x-2 g(x)=x2
What is f(x) multiplied by g(x)?
4x3-2x2
300
Grace has some blue marbles and some green marbles in a bag. All together, she has 45 marbles. Alice picks one marble from the bag. The probability Alice picks a blue marble is x and the probability Alice picks a green marble is 8x. How many green marbles are in the bag?
40 green marbles
300
Simplify (x + 3)2 - x2
6x+9
300
What is the sum of all the internal angles of an octagon?
1080o
400
What is the value of sin θ?
4/5
400
evaluate: 9ab-c , where a= -6, b= 9, c= -7
-479
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?
$3.70
400
What is (5p - 3m)2?
25p2 - 30pm + 9m2
400
What is the 12th term of the sequence?
-3, -6, -9...-108
-36
500
What would be the area of a circle that is inscribed in a rectangle with side lengths 8 cm and 13 cm? include units
16π cm2
500
7[6-(27+81)]+23
-691
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 cliff at a constant rate. The climber starts at the bottom at 12:00 pm. By 12:15pm, the climber has moved 31 feet up the hill. What is the rate, in feet per hour, at which he climbs?
124 feet per hour
500
There are 27 girls and 32 boys in a class. 5/9 of the girls and 3/4 of the boys walk to school. One of the students who walks to school is chosen at random. Find the fraction probability that the student chosen is a boy. Be sure to simplify completely.
8/13