Adding monomials
Which are like terms
5g, 2r, 4r, x, 8c
2r and 4r
Use the value of each variable to evaluate the expression:
y = 5 cm, p = 4 cm, g = 3 cm, and r = 2 cm
3p + 2g + 2r
= 3(4 cm) + 2(3 cm) + 2(2 cm) = 12 cm + 6 cm + 4 cm = 22 cm
Solve...
a + 4 = 12
a = 8
Solve
2r + 1 = 19 – 4
r = 7
3x ≤ 15
3x is less than or equal to 15
Simplify by adding like terms...
3a + 2b + 4a + 9b
7a + 11b
Use the value of each variable to evaluate the expression:
y = 5 cm, p = 4 cm, g = 3 cm, and r = 2 cm
4p + 4g + 2r + y
= 4(4 cm) + 4(3 cm) + 2(2 cm) + 5 cm = 16 cm + 12 cm + 4 cm + 5 cm = 37 cm
Solve...
3c = 24
c = 8
Solve
3r + 2 + r = 18
r = 4
Is x = 6 part of the solution set for this inequality?
2x – 5 < 6
I know 6 is not part of the solution set.
Simplify by adding like terms...
7p + 2g + 3r – 5p – g – r
2p + g + 2r
The area of a triangle can be determined using the algebraic expression (b × h) ÷ 2. If the base of a triangle is 10 cm and the height is 7.5 cm, what is its area?
(10 cm × 7.5 cm) ÷ 2 =
75 cm ÷ 2 =
37.5 cm squared
Two students are solving the equation d – 13 = 5. John says this is the same as the equation 5 + 13 = d. Anik says it is the same as the equation d – 5 = 13. Who is correct? Solve and then answer...
Both students are correct.
Decide whether x = 16.8 is the answer to this equation.
3x + 6.7 = 43.9
it is not the answer.
Solve each inequality.
5r + 3 > 13
the solution is r > 2.
4a + 3b + 5c + 4d – 2a + 4b – 2c + 3a
5a + 7b + 3c + 4d
Evaluate the following expression when a = 4, b = 5, x = 1.5, y = 2.4, and z = 9.2.
3a + 2b + 4a + 9b
28 + 55 = 83
Tyrese works part-time at a fast-food restaurant. They earn $14.80 each hour. Write an expression describing how much Tyrese earns for working n hours.
14.80n
3.5p = 18 + 17
p = 10
Solve the inequality...
r + 2r – 1 + r + 2r – 1 > 34
the solution is r > 6.
The width of a rectangle is represented by w. The length is 4 times as great as the width. Write an expression for the perimeter of the rectangle.
w + 4w + w + 4w
Evaluate the following expression when a = 4, b = 5, x = 1.5, y = 2.4, and z = 9.2.
8x + 4y + 3z – 4y – 8x
3(9.2) = 27.6
Write and solve an equation to determine how many hours Tyrese worked if they earned $96.20. Check your answer.
14.80n = 96.20
n = 96.20 ÷ 14.80
n = 6.5
Tyrese worked 6.5 hours that day.
Solve...
8m – 4.4 – 2m = 88.6
m = 15.5
Henri has saved some toonies. They get a $5 bill for helping a neighbor. Henri now has more than $15 in all. Anouk writes the inequality 2c + 5 > 15 to represent this situation. What is the least number of toonies Henri could have?
The least number of toonies Henri could have is 6.