Expressions
What mathematical vocabulary word can be used to describe the number 7 in the expression 7x+3
coefficient
SOLVE ALGEBRAICALLY SHOWING ALL STEPS!
4.5 + x = 15.8
x=11.3
SOLVE and GRAPH!
5x > 35
x>7
Write an equation to represent the following situation.
Parker jogged around the track 4 times. He jogged a total of 600 meters. What is the length of the track. Let t= the length of the track.
4t=600
Are the following values of "a" and "b" going to be solutions to the equation?
a= 5 and b = 12
a + 6 = b
NO!
5 + 6 does NOT equal 12
Write this phrase as an expression:
the product of a number and 16 is decreased by 20
16x - 20
SOLVE ALGEBRAICALLY SHOWING ALL STEPS!
y + 2/3 = 5/6
y=1/6
Write this as an inequality....then SOLVE!
eight plus y is less than or equal to ten
y is less than or equal to two
(Closed circle on your graph with arrow pointing to the LEFT)
Write and solve an equation to represent the following situation.
A parking meter had 18 quarters in it by noon. By the end of the day, it had 41 quarters in it. How many quarters were put into the parking meter in the afternoon? Let q= the number of quarters added in the afternoon.
18+q=41
q=23
23 quarters were added in the afternoon
Heidi is selling girl scout cookies this month to raise money for her girl scout troop. The more boxes she sells, the more money her troop earns.
What is the independent variable?
What is the dependent variable?
Independent Variable = the # of boxes of cookies she sells
Dependent Variable = the amount of money she earns for her troop
***The amount of money earned DEPENDS on the number of boxes sold!
Name the terms in the expression below:
5x2 + 3y + 8
5x2 , 3y, 8
Are the following values solutions to the equation?
a = 3 b = 2.5 c = 7
2a + 3b = 3c
NO!
2(3) + 3(2.5) DOES NOT equal 3(7)
6 + 7.5 DOES NOT equal 21
13.5 DOES NOT equal 21
SOLVE and GRAPH!
2n < 5
n<2.5
Open point on your graph at 2.5 with the arrow pointed to the LEFT
At the Sports Arena, it costs $3 to rent ice skates and an additional $5 per hour you skate on the ice.
Write an expression to represent this situation.
x = # of hours you skate
3 + 5x OR 5x + 3
Marty is training for a marathon. Today he has a limited amount of time to run as far as he can.
What is the independent variable?
What is the dependent variable?
Independent variable = Amount of time (The amount of time will determine how far he can go!)
Dependent variable = distance Marty runs
****The distance he runs will DEPEND on how much time he has to actually run!**
Evaluate the following expression when x=2.5
26 - x2 + x
22.25
SOLVE ALGEBRAICALLY SHOWING ALL STEPS!
8x = 4
x=1/2 or 0.5
Solve ALGEBRAICALLY and GRAPH!
.5x > 6
DIVIDE BOTH SIDES BY 0.5
x > 12
Open point at 12 on your graph with the arrow pointed to the right!
Write and graph an inequality to represent the following situation:
A passenger on a roller coaster must be at least 3 feet tall.
p is greater than or equal to 3
Closed point at 3 on your graph with the arrow pointed to the RIGHT
To build more muscle, Jill decides to start doing 25 push-ups each day. Let d represent the number of days and p represent the total number of push-ups completed.
Write an equation to show the relationship between d and p.
25d = p
Simplify this expression:
4(3w - 2x + 3) + 20x - 7w
5w + 12x + 12
SOLVE ALGEBRAICALLY SHOWING ALL STEPS!
x/1.4 = 3.2
x=4.48
Solve ALGEBRAICALLY AND GRAPH!
3 > y - 13
16>y
SHOULD BE REWRITTEN AS
y < 16
Open point at 16 on your graph with the arrow pointing to the LEFT!
SOLVE algebraically and graph the inequality.
36 > y/3
Original: 36 > y/3
To solve, MULTIPLY BOTH SIDES by 3
108 > y BUT NOW CHANGE THIS TO SAY y < 108
Open point at 108 on your graph with the arrow pointed to the LEFT
Use the table below to write an equation that shows the relationship between x and y.
x y
3 11
5 13
9 17
20 28
y = x + 8