Algebra tiles visually represent like terms by using the same tiles to represent the same variables or numbers. Zero pairs are represented by combining a positive and negative tile to represent 'zero', which is crucial in simplifying expressions or solving equations.
In mathematics, specifically in algebra, algebra tiles are a visual tool that are often used to teach concepts. These tiles usually include small squares to represent the number 1, bars to represent variables, and large squares to represent squares of variables.
They are used to represent like terms, which in algebra are terms that contain the same variables raised to the same power. For instance, if you have 3x and 2x, these can be considered like terms because they both contain the variable 'x'. In the context of algebra tiles, you would use three 'x' bars to represent 3x and two 'x' bars to represent 2x.
On the other hand, zero pairs are pairs of numbers that combine to give zero. Using algebra tiles, a zero pair can be represented by placing a positive tile and a negative tile together, which would cancel each other out, effectively representing 'zero'. This concept is important when simplifying expressions or solving equations.
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8^2y+4 = 16^y+1
Answer:
y = -4
Step-by-step explanation:
Assuming the problem is , it would be nice if we could convert both sides of this equation to the same base; that way, we could compare the exponents directly in an equation of their own. Fortunately, 8 and 16 are both powers of 2 -- and , we can rewrite the original equation by substituting those in:
When you have an exponent raised to another exponent, you multiply those exponents together, so we can simplify our equation by distributing a 3 in the left exponent and a 4 in the right:
With both of our bases the same, we can now simply compare their exponents directly to solve for y:
Valerie's goal is to study more than 1 1/4 hours each night.
Which shows the possible number of hours she might study to reach this goal?
A.
h < 1 1/4
and h may be up to 3 hours.
B.
h ≥ 1 1/4
and h may be up to 3 hours.
C.
h > 1 1/4
and h may be up to 30 hours.
D.
h > 1 1/4
and h may be up to 3 hours.
x = y + 5
A.
x + y = y + 5
B.
x + (y + 5) = 6
C.
x = (x – 6) + 5
D.
(y + 5) + y = 6
Answer: 14
Step-by-step explanation:
12^2+8^2=208 square root is 14
Answer:
14
Step-by-step explanation:
Answer:
3.68
Step-by-step explanation:
Answer:
3.68
Step-by-step explanation:
you put the higher number on top then you take out the decimal. when you do the math, then you count how many numbers are in the decimal area and put the demimals how many numberes it is.