8th grade math help provides students with all the support required with solving problems. Grade 8 Math help has this representative list of topics covered in our help list - however all programs will be customized for the individual student. 8th grade math work involves the process of solving 8th grade math homework problems with detailed solutions. It consists of homework problems in the topics like algebraic expressions, integers, fractions and decimals etc. The students of eighth grade can follow the standard math curriculum. The curriculum covers all the branches of mathematics with a brief mention of the topics covered under them.
Math topics for grade 8:
Number and Operations
- Factors, multiples, integer amounts and square roots for numbers and applications for the above related concepts in problem solving.
- Understanding of the relative magnitude of numbers by ordering or comparing rational numbers, common irrational numbers, numbers with whole number or fractional bases,exponents, square roots, absolute values, integers, or numbers represented in scientific notation using number lines or equality and inequality.
- Understanding of properties of number (odd, even, positive, negative, remainders, divisibility, and prime factorization) and field properties as apply to subsets of the real numbers.
Geometry and Measurement
- Applies the Pythagorean Theorem.
- Demonstrates conceptual understanding of surface area or volume by solving problems involving surface area and volume of rectangular prisms, triangular prisms, cylinders, pyramids, or cones.
- Sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems.
- Create and solve a variety of geometric problems and be able to solve more complex problems with measurement estimations an problems using a variety of formulas.
Functions and Algebra
- Extend, analyze and justify the explanations for patterns and their rules and a more complex level and substitute natural numbers for variables when solving algebraic equations.
- Understanding of linear relationships as a constant rate of change and distinguishes between linear and nonlinear relationships.
- Be able to write algebraic expressions and write statements to understand simple formulas and simplify algebraic equations with the four operations.
Data, Statistics, and Probability- Make inferences, predictions and evaluations based on interpretations of data collection results.
- Analyze the data to formulate or justify conclusions, to make predictions (circle graphs, linear relationship).
- Simple or composite experiments, independent events, dependent events.
- Describe collected data in terms of mean, median and the mode and be able to analyze any bias.
- Predicts and determines event in which the sample space may or may not contain equally likely outcomes.
Online 8th grade math help has become very popular among grade 8 students all over as they find that online solvers are qualified, reliable and available for help any time of the day. If keeping up with classes is turning out to be a problem, enlist the help of online math helpers who give you daily or weekly help with 8th grade math problems.
Solved Examples
Question 1: Determine the value of y when x = 9 given y = $\sqrt{9x}$ + 2x.
Solution:
Given, y = $\sqrt{9x}$ + 2x
Put x = 9
=> y = $\sqrt{9 * 9}$ + 2 * 9
=> y = $\sqrt{9^2}$ + 18
=> y = 9 + 18
=> y = 27
Question 2: Express the 72 as product of prime factors.
Solution:
Number = 72
Prime factors of 72
72 = 2 * 2 * 2 * 3 * 3
Question 3: Subtract
$2\frac{3}{5}$ -
$1\frac{3}{5}$ Solution:
Convert mixed fractions into improper fractions
$2\frac{3}{5}$ = $\frac{13}{5}$
and $1\frac{3}{5}$ = $\frac{8}{5}$
=> $\frac{13}{5}$ - $\frac{8}{5}$ = $\frac{13 - 8}{5}$
= $\frac{5}{5}$
= 1
=> $2\frac{3}{5}$ - $1\frac{3}{5}$ = 1
Question 4: The sum of two numbers is 13. If two times one of these numbers exceeds three times the other number by 1, find the numbers.
Solution:
Let the numbers be x and y
The sum of numbers = 13
=> x + y = 13 ...............(1)
and
2x - 3y = 1 .................(2)
Step 2:
(1) => y = 13 - x
Step 3:
Put y = 13 - x in equation (2)
=> 2x - 3(13 - x) = 1
=> 2x - 39 + 3x = 1
=> 5x = 40
=> x = 8
Step 4:
Put x = 8 in equation(1)
=> 8 + y = 13
=> y = 13 - 8 = 5
Hence numbers are 8 and 5.
8th grade math practice problems are a sure shot way to learn and remember math concepts. Using math practice, students can work out the problems themselves and use free math problem solvers to check their answers. Practicing online math tests also helps students get ready for their exams and surprise tests. Below are some practice problems based on 8th grade math:
Practice Problems
Question 1: The difference between the square of two consecutive numbers is 57. What are the numbers?
Question 2: Find the compound intersect on 14000 dollars for 2 years at 5% per annum.