1.01 Algebraic Expressions
How many terms are in the expression 3x2 + 2x + 4?
3
Solve the equation 5x−6=19.
x=5
Julian bought some new fish for his aquarium. He has two types of fish, goldfish and guppies. Julian has 3 times as many goldfish as he has guppies.
Write an expression to represent the goldfish using x.
3x
x − 3 > 7
x > 10
Solve the conjunction: −3 < x + 2 ≤ 7.
-5 < x ≤ 5
Solve for x: rxy=b
x=b/ry
What are the coefficients of each term in 4x − y − 2x?
4, −1, −2
5x − 2 = 3x + 4
x=3
The movie theater is full on Friday night. The number of men is 10 less than twice the number of women.
Write an expression to represent the number of men.
2x − 10 = number of men
2x − 1 < 11
x < 6
Solve the conjunction: 17 < 3h + 2 < 2
5 < h < 0
Solve V=lwh for h.
h=V/lw
Simplify 2x − 3y + 4z − x + 2y + z.
x − y + 5z
Solve:
2x + 4 = 4(x − 5)
x=12
Lennon practices basketball in the driveway. The ball bounces away, and Lennon goes to get it. Before stopping, the ball rolls 4 yards more than twice the length of Lennon's driveway. If the ball is 56 yards away, how long is Lennon's driveway?
x = 26
3(x + 1) < 2(x − 5)
x < -13
Solve the disjunction: 6 + p < 4 or −5p ≤−30
p<−2 or p≥6
A car travels a total distance of 300 miles while going an average of 50 mph. How long did the car travel? (Distance = Rate • Time)
6 hours
Find 2x + 3y if x = 2 and y = 3
13
x/2 + 1 =10
x=18
Keshawn and Denny were playing cards. Keshawn had 3 times as many points as Denny. They had 280 points altogether. How many points did Keshawn have?
210
−3x + 2 ≤ −10
x ≥ 4
Solve the disjunction: -16 < 4x or 3x+5 ≤ 20
x > -4 or x ≤ 5
A rectangular living room has a perimeter of 108 feet. If the width is 22 feet, what is the length? (Perimeter of a Rectangle = 2W + 2L)
32 feet