Solving Equations
What is the solution to the equation 2x+3=112
x=109/2
x=54.5
You have a budget of $200 and spend $50 on groceries and $30 on gas
200-50-30=120
How do you calculate the slope m using the formula m=y2−y1/x2−x1
plug in difference of y's in the numerator and divide by the difference of x's in the denominator
What do the slope and y-intercept represent in the equation of a line?
m=slope the direction of the line
up, down, horizontal or vertical
What is the probability of flipping a coin and it landing on heads?
P(heads)=heads/total sides
P(heads)=1/2
How do you isolate the variable in the equation 3(x−2)=123
3x-6=123
3x=129
x=43
In construction projects, order of operations is critical when calculating materials. For instance, if you need to find the total cost of materials, you may need to add costs and then apply tax What is the cost of wood for your deck if the cost of wood is $200 and the sales tax is 7%
Total Cost=Cost of Materials+(Cost of Materials×Tax Rate)
Total Cost=200+(200×0.07)
Total Cost= $214
If a line passes through the points (2, 3) and (4, 7), what is its slope?
m=7-3/4-2
m=4/2
m=2
Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -2
y=3x-2
If a die is rolled, what is the probability of rolling a number greater than 4?
P(>4)=5,6/1,2,3,4,5,6
P(>4)=2/6
P(>4)=1/3
Solve for xx in the equation 5x−7=3x+9
2x=16
x=8
Calculate 8−(3+5)÷24−(3+5)÷2.
8-8÷24-8÷2
8-1/3-4
7 2/3-4
3 2/3
What is the slope of the line represented by the equation y=2x+3
m=2
What is the standard form of the equation of a line with a slope of -1 passing through the point (1, 2)?
y-2=-1(x-1)
y=-1x+3
What is the probability of drawing a red card from a standard deck of 52 playing cards?
P(red)=red AKQJ2345678910/52 red and black
P(red)=26/52
P(red)=1/2
If 4(2x+1)=28
8x+4=28
8x=24
x=3
Solve 6+2×(32−1)
6+2(8)
6+16
22
what is the slope of a vertical line
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(a horizontal line is m=0)
Convert the equation 2y−4x=8 into slope-intercept form.
2y=4x+8
y=2x+4
If you have 3 red balls and 2 blue balls in a bag, what is the probability of drawing a red ball?
P(red)=3/5
If 4(2x+1)=2x+10 what is the value of x?
8x+4=2x+10
6x=6
x=1
What is the result of 2(3+4)−52
2(7)-25
14-25
-11
Given the equation y−1=3/4(x+2) what is the slope of this line?
m=3/4
Given the points (1, 2) and (3, 6), write the equation of the line in point-slope form.
m=6-2/3-1
m=4/2
m=2
A box contains 4 green, 5 blue, and 1 yellow marble. What is the probability of drawing a blue marble?
P(blue)=5/10=1/2