What is the coefficient in the following expression?
45 ÷ ( 6x -3 ) + 7
6
The number multiplied with the variable is the coefficient
Write the inequality for less than 8 pets, p.
p < 8
Are these equations equivalent?
4 = 2(x + 8) and
4 + 2 = 2(x+8) + 2
YES!
4 = 2(x + 8) and 4 + 2 = 2(x+8) +2
Adds 2 to both sides of the equation!
When a = 5, what is the value of this expression:
(a + 9) - 2
12!
( (5) + 9 ) - 2
14 - 2 = 12
When the a = 5, the expression equals 12.
Is the point (2,1) on the line
y = x - 1?
YES!
1 = 2 - 1
1 = 1 This is true and therefore is on the line!
Write the expression that represents the following:
8 more than 5 times x.
8 + 5x
How would I graph the x > 10?
There would be an open circle on 10 and an arrow pointed to the right of 10 on a number line.
Are these expressions equivalent?
3x + 9 and 3(x +3)
Yes!
Distribute!
3x + 9 = 3x+9
When g = 15, what is the value of the expression:
2( g - 5)?
20!
2(15 -10)
2(10) = 20
When g = 15 the value of the expression is 20.
Is the point (3,6) on the line
y = x - 3?
No!
6 = 3 - 3
6 = 0
This is not true and therefore the point is not found on the line.
What is the quotient in the expression
(6v + 4) ÷ 4 + 5
(6v + 4) ÷ 4
How would I graph the inequality x ≤ 4?
There would be an closed circle on 4 and an arrow pointed to the left of 4 on a number line.
Are these expressions equivalent?
7x + 3 - 2x + 8 and 9x +11
NO
Combine like terms
7x + 3 -2x +8 is equivalent to 5x +11
When x = 6, what is the value of the expression
(x2 - 4) ÷ 4 ?
8
(62 - 4) ÷ 4
(36 - 4) ÷ 4
32 ÷ 4
When x =6, the value of the expression is 8
Is the point (1,10) on the line
y = 2(x +4)?
Yes!
10 = 2(1 +4)
10 = 2(5)
10 = 10 This is true and therefore the point is found on the line.
Write the expression that represents the following:
7 more than the value of y divided by 6
y ÷ 6 + 7
Write an inequality for at least 7 home runs, h.
h ≥ 7
Find an similar expression to
8(x -4) + 10?
8x - 22
8(x-4) +10 = 8x -32 +10
8x - 22
When a = 10 and b =2 , what is the value of the expression: (2a + 4) ÷ b3?
3
(2(10) + 4) ÷ (2)3
(20 + 4) ÷ 8
24 ÷ 8
When a= 10 and b= 2 the value of the expression is 3
Is the point (6,2) on the line y = (x + 2) ÷ 2?
NO!
2 = (6 +2) ÷ 2
2 = (8) ÷ 2
2 = 4 This is not true and therefore the point is not on the line!
Write the expression that represents the following:
9 less than 2 times x squared
2x2 - 9
Write the inequality for the no more than 11 desks, d?
Also, provide one solution for the inequality
d ≤ 11
Any number smaller than 11 or 11 is a solution!
Are these equations equivalent?
5 = 2(y + 3) ÷ 4
5 + (x/3) = 2(y+3)÷ 4 + (z/3)
NO
one side is being added by x/3
The other side is being added by z/3
When g = 5 and e = 4, what is the value of this expression:
2(2g + 4) - (e2 - 2)?
14
2(2(5) + 4) - (42 -2)
2(14) - (16 -2)
28 - 14
When g= 5 and e = 4, the value of the expression is 14
Is the point (20,2) on the line
y =(1/4x + 3) ÷ 4?
YES!
2 = (1/4(20) + 3) ÷ 4
2 = (5 +3) ÷ 4
2 = 8 ÷ 4
2 = 2 This is true and therefore the point is on the line!