Irrational Numbers
What is the approximate value of sqrt2 on a number line to the nearest tenth?
approx 1.4
Simplify 2^3 * 2^2
2^5 = 32
Solve: If you have 6 apples and you give away 2, how many do you have left?
You have 4 apples left
Evaluate: 2 x + 3 = 11 ?
x=4
How many solution does the equation have: 2x+4=2x+4?
infinitely many solutions
What is the approximate value of sqrt78 rounded to the nearest hundredths?
≈ 8.83
What is 5^4/5^2 expressed using properties of exponents?
5^(4−2) = 5^2 = 25
If a car travels 60 miles in 1 hour, how far will it travel in 4 hours?
The car will travel 240 miles.
Expand the expression 3(x+4)
3x+12
How many solution does the equation have: 4x-8=4x-7
no solution
Compare the size of pi and 3.1 using rational approximations and inequality signs.
3.14 > 3.10
If x^3*x^2=x^n , what is the value of n?
x^(3 + 2) = x^5
A shirt costs $20 and is on sale for $15. What is the percent discount?
The percent discount is 25%
Evaluate: 12 x + 10 > 70
x > 5
Solve and classify: 2(x+3)=2x+6
infinitely many solutions
What 2 things help determine if a decimal is irrational?
The decimal is non-terminating and can't be put into a fraction.
How do you write 3^-2 as a positive exponent?
1/3^2
Julie is buying packs of markers for her classroom. Each pack costs $3. She also has to pay a one-time $5 shipping fee. If her total cost is $20, how many packs of markers did Julie buy?
Julie bought 5 packs of markers
If x−5<10 , what is the solution for x?
x < 15
Solve and classify: 2x+4x+2 = 3x-5+3x
No solution
Estimate the value of sqrt5 + 2 to the nearest hundredth?
≈ 4.24
Expand (x^2)^3 using exponent rules.
x^(2 ⋅ 3) = x^6
A recipe requires 2 cups of flour for every 3 cups of sugar. How much flour is needed for 9 cups of sugar?
x=6
A gym charges a $25 sign-up fee and $15 per month. Sam has already paid $100. Write and solve a linear equation to find how many months Sam has been a member.
15x + 25 = 100 and x= 5 months
Sam states that the given equation has no solutions. 4(4x + 3) = 19x + 9 - 3x + 3 Do you agree or disagree? Justify your answer.
Disagree. Sam said the equation has no solutions, but in fact, it has infinitely many solutions because both sides are identical after simplification.