Unit 1:
Building Blocks of Algebra
Building Blocks of Algebra
Simplify the following using the Distributive Property:
8(5x - 3)
40x - 24
Solve for x:
3(x + 5) - 2 = -8
x = -7
Write the interval -6 < x <= 9 using interval notation
(-6, 9]
What do we call the highest point on a graph?
Absolute Maximum
What do you call a witch at the beach?
A sand-witch
What is the following expression equal to when evaluated for x = -4?
x2 - 5
11
Solve for x:
4x + 5 = 3(x - 1) + 11
x = 3
Overall, is the following inequality true or false?
-6 < 0 and 8 > 12
Could the following set of coordinate points be classified as a function?
{(0,3), (1, 5), (3, 7), (1, 9), (5, 11)}
Not a Function
What did the British boy's mother dress up as for Halloween?
A mummy
Write the following expression as a binomial in simplest form
5(2x + 3) + 2(4x - 5)
18x + 5
What type of solution(s) does the following equation have?
4(x + 1) - 3 = 2(2x + 1) - 1
Infinite Solutions
Is the value a = -3 a solution to the inequality?
2a + 1 < 2
True = Solution
How can the following statement be written as a coordinate point?
f(4) = -7
(4, -7)
Why couldn't the pony sing a song?
It was a little horse
If n represents a number, write an expression for one-third of the number decreased by 7.
1/3n - 7
When the sum of a number, n, and 6 is divided by 4 the result is equal to 5. Set up and solve an equation to find the value of n.
n = 14
Solve the following inequality:
-4x + 3 < 11
x > -2
If f(x) = -2x2 + 3, then find f(-3).
-15
Why does Snoop Dogg need an umbrella
Fo' Drizzle
Which real number property justifies the equivalence:
(5x)(5x) = (5)(5)(x)(x)
The Commutative Property of Multiplication
Solve the following equation for the variable x in terms of y and z:
3y = z + 4x
x = (3y - z) / 4
A number is tripled and then decreased by 5. The final result is at most 18. If n represents the number, model this statement using an inequality.
3n - 5 <= 18
If f(x) = x2 - 2x - 11, then which value of x solves f(x) = 4?
x = 5
Why did the scarecrow win the Nobel Prize?
Because he was outstanding in his field